A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)
12th Edition
ISBN: 9780133865479
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 7.2B, Problem 5A
To determine
a)
To find:
The correct position of the decimal point using estimation in the product
To determine
b)
To find:
The correct position of the decimal point using estimation in the product
To determine
c)
To find:
The correct position of the decimal point using estimation in the division
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Q1. A group of five applicants for a pair of identical jobs consists of three men and two
women. The employer is to select two of the five applicants for the jobs. Let S
denote the set of all possible outcomes for the employer's selection. Let A denote
the subset of outcomes corresponding to the selection of two men and B the subset
corresponding to the selection of at least one woman. List the outcomes in A, B,
AUB, AN B, and An B. (Denote the different men and women by M₁, M2, M3
and W₁, W2, respectively.)
For the following function, find the full power series centered at a
of convergence.
0 and then give the first 5 nonzero terms of the power series and the open interval
=
f(2) Σ
8
1(x)--(-1)*(3)*
n=0
₤(x) = + + + ++...
The open interval of convergence is:
1
1
3
f(x)=
=
28
3x6 +1
(Give your answer in help (intervals) .)
Q3 (8 points)
Q3. A survey classified a large number of adults according to whether they were diag-
nosed as needing eyeglasses to correct their reading vision and whether they use
eyeglasses when reading. The proportions falling into the four resulting categories
are given in the following table:
Use Eyeglasses for Reading
Needs glasses Yes
No
Yes
0.44
0.14
No
0.02
0.40
If a single adult is selected from the large group, find the probabilities of the events
defined below. The adult
(a) needs glasses.
(b) needs glasses but does not use them.
(c) uses glasses whether the glasses are needed or not.
Chapter 7 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)
Ch. 7.1 - Using Simon Stevins notation see Historical Note,...Ch. 7.1 - MATHEMATICAL CONNECTIONS If 1 mL is 0.001 L, how...Ch. 7.1 - MATHEMATICAL CONNECTIONS
Explain whether day can...Ch. 7.1 - MATHEMATICAL CONNECTIONS
Using the number line...Ch. 7.1 - Explain why you think a sign on a copy machine...Ch. 7.1 - MATHEMATICAL CONNECTIONS Explain how you could use...Ch. 7.1 - MATHEMATICAL CONNECTIONS Explain why, in Theorem...Ch. 7.1 - MATHEMATICAL CONNECTIONS Explain why appending any...Ch. 7.1 - MATHEMATICAL CONNECTIONS
How can you tell each of...Ch. 7.1 - MATHEMATICAL CONNECTIONS Determine how decimal...
Ch. 7.1 - Using base-five blocks similar to base-ten blocks,...Ch. 7.1 - In small groups, research the history of decimals...Ch. 7.1 - MATHEMATICAL CONNECTIONS
A student claims that is...Ch. 7.1 - Prob. 16MCCh. 7.1 - MATHEMATICAL CONNECTIONS A student claims that...Ch. 7.1 - Connecting Mathematics to the Classroom A student...Ch. 7.1 - Joe rode his bicycle from his house to his friends...Ch. 7.1 - 50-YARD RACE Girl Time seconds Christa 8.28 Kelly...Ch. 7.1 - The diameter of a red blood cell, in inches, is...Ch. 7.1A - Assessment 71A Write each of the following as a...Ch. 7.1A - Assessment 71A Rewrite each of the following as a...Ch. 7.1A - Assessment 71A Write each of the following as a...Ch. 7.1A - Write each of the following numerals in words. a....Ch. 7.1A - Write each of the following terminating decimals...Ch. 7.1A - Mentally determine which of the following can be...Ch. 7.1A - When possible, write each of the numbers in...Ch. 7.1A - Seven minutes is part of an hour. If 7 min were to...Ch. 7.1A - Given the U.S. monetary system, what reason can...Ch. 7.1A - In each of the following order the decimals from...Ch. 7.1A - Write the numbers in each of the following...Ch. 7.1A - Use a decimal grid with 100 squares and represent...Ch. 7.1A - If the decimals 0.804,0.84, and 0.8399 are...Ch. 7.1A - Write a decimal that has a ten-thousandths place...Ch. 7.1A - a. Show that between any two terminating decimals,...Ch. 7.1A - If decimals in other number bases work the same as...Ch. 7.1A - The five top swimmers in an event had the...Ch. 7.1A - Suppose a carpenters ruler was marked in...Ch. 7.1B - ASSESSMENT Write each of the following as a sum in...Ch. 7.1B - Prob. 2ACh. 7.1B - ASSESSMENT Write each of the following as a...Ch. 7.1B - ASSESSMENT
Write each of the following numerals in...Ch. 7.1B - Write each of the following terminating decimals...Ch. 7.1B - ASSESSMENT Mentally determine which of the...Ch. 7.1B - ASSESSMENT
Where possible, write each of the...Ch. 7.1B - ASSESSMENT What whole numbers of minutes less than...Ch. 7.1B - Prob. 9ACh. 7.1B - Prob. 10ACh. 7.1B - Write the numbers in each of the following...Ch. 7.1B - Use a grid with 100 squares and represent 0.23.Ch. 7.1B - Prob. 13ACh. 7.1B - Write a decimal that is between 8.345 and 8.3456.Ch. 7.1B - Prob. 15ACh. 7.1B - Prob. 16ACh. 7.1B - Assessment The five top swimmers in an event had...Ch. 7.1B - Prob. 18ACh. 7.2 - How much greater is 0.763 than 0.753? How can you...Ch. 7.2 - How is multiplication of decimals like...Ch. 7.2 - Prob. 3MCCh. 7.2 - Is a product of two positive decimals each less...Ch. 7.2 - What is the significance of the 1 above the 6 in...Ch. 7.2 - Prob. 8MCCh. 7.2 - Prob. 9MCCh. 7.2 - Prob. 10MCCh. 7.2 - Prob. 11MCCh. 7.2 - In multiplying 0.1250.08, Roger knew the rule that...Ch. 7.2 - Jamal wants to know why 0.3 and 0.30 are equal....Ch. 7.2 - Fred says that to multiply 32.72.6, he just...Ch. 7.2 - Prob. 16MCCh. 7.2 - Prob. 17MCCh. 7.2 - How would you respond to the following situations?...Ch. 7.2 - Write 14.0479 in expanded form.Ch. 7.2 - With out dividing, determine which of the...Ch. 7.2 - If the denominator of a fraction is 26, is it...Ch. 7.2 - 3556 can be written as a terminating decimal....Ch. 7.2 - How much greater is 0.763 than 0.753? How can you...Ch. 7.2 - Prob. 2NAEPCh. 7.2 - Prob. 3NAEPCh. 7.2 - Explain why subtraction of terminating decimals...Ch. 7.2A - Use base-ten blocks to model 3.2+2.32.Ch. 7.2A - Write the decimals as fractions and then add....Ch. 7.2A - ASSESSMENT Write the decimals as fractions and...Ch. 7.2A - Prob. 4ACh. 7.2A - Johns calculator calculates correctly but does not...Ch. 7.2A - ASSESSMENT Multiply each number below by 0.01...Ch. 7.2A - ASSESSMENT
When you multiply a natural number by a...Ch. 7.2A - If Maura went to the store and bought a chair for...Ch. 7.2A - ASSESSMENT a. Complete the following magic square;...Ch. 7.2A - ASSESSMENT
Karin bought lb of peaches at lb and lb...Ch. 7.2A - Automobile engines were once measured in cubic...Ch. 7.2A - ASSESSMENT A stock rose 0.24 in the market on...Ch. 7.2A - Prob. 13ACh. 7.2A - A kilowatt hour means 1000 watts of electricity...Ch. 7.2A - Prob. 15ACh. 7.2A - ASSESSMENT
If each of the following sequences is...Ch. 7.2A - Prob. 17ACh. 7.2A - Prob. 18ACh. 7.2A - Estimate the placement of each of the following...Ch. 7.2A - Prob. 20ACh. 7.2A - Mikes class is building a model of the new World...Ch. 7.2A - Prob. 22ACh. 7.2A - Prob. 23ACh. 7.2A - Prob. 24ACh. 7.2A - Prob. 25ACh. 7.2A - ASSESSMENT Convert each of the following to...Ch. 7.2A - ASSESSMENT
Write the numerals in each of the...Ch. 7.2A - Prob. 28ACh. 7.2A - ASSESSMENT
Write the numerals in each of the...Ch. 7.2A - ASSESSMENT
Write the results of each of the...Ch. 7.2A - Round each of the following numbers as specified....Ch. 7.2A - Prob. 32ACh. 7.2A - Audrey wants to buy some camera equipment to take...Ch. 7.2A - ASSESSMENT Estimate the sum or difference in each...Ch. 7.2A - ASSESSMENT
Find the least and the greatest...Ch. 7.2A - Some digits in the following number are covered by...Ch. 7.2A - Iris worked a 40-hour week at 8.25/hr. Mentally...Ch. 7.2A - ASSESSMENT Mentally compute the number to fill in...Ch. 7.2A - ASSESSMENT
Which of the following result in equal...Ch. 7.2A - Prob. 40ACh. 7.2B - Prob. 1ACh. 7.2B - Prob. 2ACh. 7.2B - Prob. 3ACh. 7.2B - Assume the multiplication shown below is correct...Ch. 7.2B - Prob. 5ACh. 7.2B - Prob. 6ACh. 7.2B - When you multiply a positive decimal less than 1...Ch. 7.2B - Prob. 8ACh. 7.2B - Prob. 9ACh. 7.2B - Prob. 10ACh. 7.2B - Prob. 11ACh. 7.2B - Prob. 12ACh. 7.2B - Prob. 13ACh. 7.2B - Prob. 14ACh. 7.2B - Prob. 15ACh. 7.2B - If the first term of a finite geometric sequence...Ch. 7.2B - Prob. 17ACh. 7.2B - Prob. 18ACh. 7.2B - Prob. 19ACh. 7.2B - Prob. 20ACh. 7.2B - Prob. 21ACh. 7.2B - Prob. 22ACh. 7.2B - Prob. 23ACh. 7.2B - Prob. 24ACh. 7.2B - Prob. 25ACh. 7.2B - Prob. 26ACh. 7.2B - Prob. 27ACh. 7.2B - Prob. 28ACh. 7.2B - Prob. 29ACh. 7.2B - Round each of the following numbers as specified...Ch. 7.2B - Prob. 31ACh. 7.2B - Prob. 32ACh. 7.2B - Find the least and the greatest possible products...Ch. 7.2B - Prob. 35ACh. 7.2B - Prob. 36ACh. 7.2B - Prob. 37ACh. 7.2B - Prob. 39ACh. 7.3 - a. If a grocery store advertised three lemons for...Ch. 7.3 - A friend claims that every finite decimal is equal...Ch. 7.3 - Some addition problems are easier to compute with...Ch. 7.3 - Prob. 4MCCh. 7.3 - Notice that...Ch. 7.3 - Prob. 6MCCh. 7.3 - a. Does your calculator allow you to enter...Ch. 7.3 - Prob. 8MCCh. 7.3 - A student argues that repeating decimals are of...Ch. 7.3 - A student asks if a sum of two repeating decimals...Ch. 7.3 - A student needs to find 0.333348 without using a...Ch. 7.3 - Joe says terminating decimals are those with...Ch. 7.3 - Prob. 14MCCh. 7.3 - Prob. 15MCCh. 7.3 - Prob. 16MCCh. 7.3 - Prob. 17MCCh. 7.3 - Prob. 18MCCh. 7.3 - Prob. 19MCCh. 7.3A - Prob. 1ACh. 7.3A - a. Do 0.45777,0.4577 and 0.457 represent different...Ch. 7.3A - Write the first 10 decimal places for each of the...Ch. 7.3A - Which of the following is greater: 0.3625or0.3625?Ch. 7.3A - Write the following using a bar to indicate the...Ch. 7.3A - Prob. 6ACh. 7.3A - ASSESSMENT Convert each of the following repeating...Ch. 7.3A - Express 1 min as a repeating decimal part of an...Ch. 7.3A - ASSESSMENT Order the following decimals from...Ch. 7.3A - Prob. 10ACh. 7.3A - Prob. 11ACh. 7.3A - Give an argument why 317 must be a repeating...Ch. 7.3A - Prob. 13ACh. 7.3A - Explain whether a terminating decimal could ever...Ch. 7.3A - Find three decimals between each of the following...Ch. 7.3A - Find the decimal halfway between the decimals 0.4...Ch. 7.3A - a. Find three rational numbers between 34 and...Ch. 7.3A - Prob. 18ACh. 7.3A - a. Write each of the following as a fraction in...Ch. 7.3A - Use the fact that 0.9=1 to find the terminating...Ch. 7.3A - Prob. 21ACh. 7.3A - Prob. 22ACh. 7.3A - Find the sum of the finite geometric sequence...Ch. 7.3A - Prob. 24ACh. 7.3A - Consider the repeating decimals 0.235 and 0.2356....Ch. 7.3A - Find values of x such that each of the following...Ch. 7.3A - If a, b and c are digits, write 0.abc as a...Ch. 7.3A - Prob. 28ACh. 7.3A - Prob. 29ACh. 7.3B - Assessment Will 31234567 be a terminating decimal?...Ch. 7.3B - Prob. 2ACh. 7.3B - Prob. 3ACh. 7.3B - Prob. 4ACh. 7.3B - Assessment Write the following using a bar to...Ch. 7.3B - Assessment Find the decimal representation for...Ch. 7.3B - Prob. 7ACh. 7.3B - Prob. 8ACh. 7.3B - Prob. 9ACh. 7.3B - Prob. 10ACh. 7.3B - Prob. 11ACh. 7.3B - Prob. 12ACh. 7.3B - Prob. 14ACh. 7.3B - Assessment Find three decimals between each of the...Ch. 7.3B - Prob. 16ACh. 7.3B - Prob. 17ACh. 7.3B - Prob. 18ACh. 7.3B - Prob. 19ACh. 7.3B - Prob. 20ACh. 7.3B - Prob. 21ACh. 7.3B - ASSESSMENT Use the fact that 0.01=199 and...Ch. 7.3B - Prob. 23ACh. 7.3B - Prob. 24ACh. 7.3B - Assessment 7-3B Consider the repeating decimals...Ch. 7.3B - Prob. 26ACh. 7.3B - Prob. 27ACh. 7.3B - Prob. 28ACh. 7.3B - Prob. 29ACh. 7.4 - Use mental math to find 11 of 850. Explain your...Ch. 7.4 - Does 0.4=0.4? Explain.Ch. 7.4 - What does it mean to reach 125 of your savings...Ch. 7.4 - Is 4 of 98 the same as 98 of 4? Explain.Ch. 7.4 - a. If 25 of a number is 55, is the number greater...Ch. 7.4 - Can 35 of one number can be greater than 55 of...Ch. 7.4 - Why does one picture have so much more shaded area...Ch. 7.4 - Why is it possible to have an increase of 150 in...Ch. 7.4 - Two equal amounts of money were invested in two...Ch. 7.4 - Because of a recession, the value of a new house...Ch. 7.4 - Prob. 11MCCh. 7.4 - Each year a cars value depreciated 20 from the...Ch. 7.4 - If 70 of the girls in a class wanted to have a...Ch. 7.4 - If 70 of the girls in a class wanted to have a...Ch. 7.4 - Abe and Barb were shopping at a department store....Ch. 7.4 - Prob. 16MCCh. 7.4 - MATHEMATICAL CONNECTIONS Look at newspapers and...Ch. 7.4 - Prob. 19MCCh. 7.4 - Prob. 20MCCh. 7.4 - Prob. 25MCCh. 7.4 - A student claims that if prices at a store can...Ch. 7.4 - Prob. 27MCCh. 7.4 - Prob. 28MCCh. 7.4 - Noel read that women used to make 75c for every...Ch. 7.4 - A student claims that if the value of an item...Ch. 7.4 - a. Human bones make up 0.18 of a persons body...Ch. 7.4 - Write each of the following decimals in the form...Ch. 7.4 - Write a repeating decimal equal to each of the...Ch. 7.4 - Write 0.00024 as a fraction in simplest form.Ch. 7.4 - Prob. 35MCCh. 7.4 - Write each of the following as a standard numeral....Ch. 7.4 - Prob. 1NAEPCh. 7.4 - NATIONAL ASSESSMENT OF EDUCATIONAL PROGRESS NAEP...Ch. 7.4 - NATIONAL ASSESSMENT OF EDUCATIONAL PROGRESS NAEP...Ch. 7.4A - Prob. 1ACh. 7.4A - Copy the number line and fill in the blanks so...Ch. 7.4A - Express each of the following as a percent. a....Ch. 7.4A - Convert each of the following percent to a...Ch. 7.4A - Fill in the following blanks to find other...Ch. 7.4A - Draw a percent bar to represent 125 of 60. Set up...Ch. 7.4A - Answer each of the following question. a. What is...Ch. 7.4A - Prob. 8ACh. 7.4A - Prob. 9ACh. 7.4A - Assessment Gail received a 7 raise last year. If...Ch. 7.4A - Prob. 11ACh. 7.4A - Assessment If a dress that normally sells for 35...Ch. 7.4A - Prob. 13ACh. 7.4A - Prob. 14ACh. 7.4A - An airline ticket costs 320 without the tax. If...Ch. 7.4A - Prob. 16ACh. 7.4A - If 6623 of 1800 employees favored a new insurance...Ch. 7.4A - Which represents the greater percent:325500 or...Ch. 7.4A - Assessment An advertisement reads that if you buy...Ch. 7.4A - Prob. 20ACh. 7.4A - Prob. 21ACh. 7.4A - A crew consists of one apprentice, one journeyman,...Ch. 7.4A - a. In an incoming freshman class of 500 students,...Ch. 7.4A - Assessment Ms. Price has received a 10 raise in...Ch. 7.4A - Prob. 25ACh. 7.4A - If you wanted to spend 25 of your monthly salary...Ch. 7.4A - Prob. 27ACh. 7.4A - A tip in a restaurant has been typically figured...Ch. 7.4A - Assessment Suppose the percent bar below shows the...Ch. 7.4A - Prob. 30ACh. 7.4A - Assessment Sunscreens block ultraviolet UV rays...Ch. 7.4A - Complete the following compound interest chart....Ch. 7.4A - Assessment Ms. Jackson borrowed 42,000 at 8.75...Ch. 7.4A - Prob. 34ACh. 7.4A - Prob. 35ACh. 7.4A - Prob. 36ACh. 7.4A - Prob. 37ACh. 7.4A - The New Age Savings Bank advertises 4 annual...Ch. 7.4A - Prob. 39ACh. 7.4B - Prob. 1ACh. 7.4B - Prob. 2ACh. 7.4B - Assessment Express each of the following as a...Ch. 7.4B - Assessment Convert each of the following percents...Ch. 7.4B - Assessment Fill in the following blanks to find...Ch. 7.4B - Draw a percent bar to represent 150 of 60. Set up...Ch. 7.4B - Prob. 7ACh. 7.4B - Prob. 8ACh. 7.4B - Prob. 9ACh. 7.4B - Assessment Brandy received a 10 raise last year....Ch. 7.4B - Prob. 11ACh. 7.4B - Assessment A used car originally cost 1700. One...Ch. 7.4B - Assessment On a certain day in Glacier Park, 728...Ch. 7.4B - Prob. 14ACh. 7.4B - Prob. 15ACh. 7.4B - Prob. 16ACh. 7.4B - Prob. 17ACh. 7.4B - Prob. 18ACh. 7.4B - Prob. 19ACh. 7.4B - Prob. 20ACh. 7.4B - Prob. 21ACh. 7.4B - Prob. 22ACh. 7.4B - Prob. 23ACh. 7.4B - Prob. 24ACh. 7.4B - Prob. 25ACh. 7.4B - Prob. 26ACh. 7.4B - Prob. 27ACh. 7.4B - Prob. 28ACh. 7.4B - Prob. 29ACh. 7.4B - Prob. 30ACh. 7.4B - Complete the following compound interest chart....Ch. 7.4B - Prob. 32ACh. 7.4B - Prob. 33ACh. 7.4B - Prob. 34ACh. 7.4B - Prob. 35ACh. 7.4B - Prob. 36ACh. 7.4B - If a publishing company signed an agreement to...Ch. 7.4B - Prob. 38ACh. 7.4B - Prob. 39ACh. 7.CR - a. On the number line, find the decimals that...Ch. 7.CR - Write each of the following as a rational number...Ch. 7.CR - Prob. 3CRCh. 7.CR - A board is 442.4 cm long. How many shelves can be...Ch. 7.CR - Write each of the following as a decimal. a. 47 b....Ch. 7.CR - Prob. 6CRCh. 7.CR - Round each of the following number as specified....Ch. 7.CR - Rewrite each of the following in scientific...Ch. 7.CR - Prob. 9CRCh. 7.CR - Prob. 10CRCh. 7.CR - a. Find five decimals between 0.1 and 0.11 and...Ch. 7.CR - Answer each of the following questions. a.6 is...Ch. 7.CR - Prob. 13CRCh. 7.CR - Change each of the following percents to a...Ch. 7.CR - Prob. 15CRCh. 7.CR - Five computers in a shipment of 150 were found to...Ch. 7.CR - On a mathematics examination, a student missed 8...Ch. 7.CR - A used car costs 3450 at present. This is 60 of...Ch. 7.CR - Prob. 19CRCh. 7.CR - Jane bought a bicycle and sold it for 30 more than...Ch. 7.CR - Prob. 21CRCh. 7.CR - Prob. 22CRCh. 7.CR - Prob. 23CRCh. 7.CR - Chapter 7 Review A company was offered a 30,000...Ch. 7.CR - Prob. 25CRCh. 7.CR - Chapter 7 Review The crust of a certain pumpkin...Ch. 7 - In a set of base-ten blocks, let 1 flat represents...Ch. 7 - Prob. 2NTCh. 7 - Prob. 3NTCh. 7 - Prob. 4NTCh. 7 - Prob. 5NTCh. 7 - Prob. 6NT
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- 4. (i) Let a discrete sample space be given by N = {W1, W2, W3, W4}, and let a probability measure P on be given by P(w1) = 0.2, P(w2) = 0.2, P(w3) = 0.5, P(wa) = 0.1. Consider the random variables X1, X2 → R defined by X₁(w1) = 1, X₁(w2) = 2, X2(w1) = 2, X2 (w2) = 2, Find the joint distribution of X1, X2. (ii) X1(W3) = 1, X₁(w4) = 1, X2(W3) = 1, X2(w4) = 2. [4 Marks] Let Y, Z be random variables on a probability space (, F, P). Let the random vector (Y, Z) take on values in the set [0, 1] x [0,2] and let the joint distribution of Y, Z on [0, 1] x [0,2] be given by 1 dPy,z (y, z) ==(y²z+yz2) dy dz. harks 12 Find the distribution Py of the random variable Y. [8 Marks]arrow_forwardNeed help answering wuestionarrow_forwardFor the following function, find the full power series centered at x = 0 and then give the first 5 nonzero terms of the power series and the open interval of convergence. f(x) = Σ| n=0 9 f(x) = 6 + 4x f(x)− + + + ++··· The open interval of convergence is: ☐ (Give your answer in help (intervals) .)arrow_forward
- marks 11 3 3/4 x 1/4 1. There are 4 balls in an urn, of which 3 balls are white and 1 ball is black. You do the following: draw a ball from the urn at random, note its colour, do not return the ball to the urn; draw a second ball, note its colour, return the ball to the urn; finally draw a third ball and note its colour. (i) Describe the corresponding discrete probability space (Q, F, P). [9 Marks] (ii) Consider the following event, A: Among the first and the third balls, one ball is white, the other is black. Write down A as a subset of the sample space and find its probability, P(A). [2 Marks]arrow_forwardThere are 4 balls in an urn, of which 3 balls are white and 1 ball isblack. You do the following:• draw a ball from the urn at random, note its colour, do not return theball to the urn;• draw a second ball, note its colour, return the ball to the urn;• finally draw a third ball and note its colour.(i) Describe the corresponding discrete probability space(Ω, F, P). [9 Marks](ii) Consider the following event,A: Among the first and the third balls, one ball is white, the other is black.Write down A as a subset of the sample space Ω and find its probability, P(A)arrow_forwardLet (Ω, F, P) be a probability space and let X : Ω → R be a randomvariable whose probability density function is given by f(x) = 12 |x|e−|x| forx ∈ R.(i) Find the characteristic function of the random variable X.[8 Marks](ii) Using the result of (i), calculate the first two moments of therandom variable X, i.e., E(Xn) for n = 1, 2. [6 Marks]Total marks 16 (iii) What is the variance of X?arrow_forward
- Let X be a random variable with the standard normal distribution, i.e.,X has the probability density functionfX(x) = 1/√2π e^-(x^2/2)2 .Consider the random variablesXn = 20(3 + X6) ^1/2n e ^x^2/n+19 , x ∈ R, n ∈ N.Using the dominated convergence theorem, prove that the limit exists and find it limn→∞E(Xn)arrow_forwardLet X be a discrete random variable taking values in {0, 1, 2, . . . }with the probability generating function G(s) = E(sX). Prove thatVar(X) = G′′(1) + G′(1) − [G′(1)]2.[5 Marks](ii) Let X be a random variable taking values in [0,∞) with proba-bility density functionfX(u) = (5/4(1 − u^4, 0 ≤ u ≤ 1,0, otherwise. Let y =x^1/2 find the probability density function of Yarrow_forward14 14 4. The graph shows the printing rate of Printer A. Printer B can print at a rate of 25 pages per minute. How does the printing rate for Printer B compare to the printing rate for Printer A? The printing rate for Printer B is than the rate for Printer A because the rate of 25 pages per minute is than the rate of for Printer A. pages per minute RIJOUT 40 fy Printer Rat Number of Pages 8N WA 10 30 20 Printer A 0 0 246 Time (min) Xarrow_forward
- 2. y 1 Ο 2 3 4 -1 Graph of f x+ The graph gives one cycle of a periodic function f in the xy-plane. Which of the following describes the behavior of f on the interval 39 x < 41 ? (Α B The function f is decreasing. The function f is increasing. The function f is decreasing, then increasing. D The function f is increasing, then decreasing.arrow_forwardDepth (feet) 5- 4- 3- 2. WW www 1 D B 0 10 20 30 40 50 60 70 80 Time (hours) x A graph of the depth of water at a pier in the ocean is given, along with five labeled points A, B, C, D, and E in the xy-plane. For the time periods near these data points, a periodic relationship between depth of water, in feet, and time, in hours, can be modeled using one cycle of the periodic relationship. Based on the graph, which of the following is true? B C The time interval between points A and B gives the period. The time interval between points A and C gives the period. The time interval between points A and D gives the period. The time interval between points A and E gives the period.arrow_forwardA certain type of machine produces a number of amps of electricity that follows a cyclic, periodically increasing and decreasing pattern. The machine produces a maximum of 7 amps at certain times and a minimum of 2 amps at other times. It takes about 5 minutes for one cycle from 7 amps to the next 7 amps to occur. Which of the following graphs models amps as a function of time, in minutes, for this machine? A B C D Amps M 3 4 5 678 Minutes Amps w 3 4 5 6 7 8 Minutes 8 Amps- 6+ Amps y 2345678 Minutes 456 8 Minutesarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities; Author: Mathispower4u;https://www.youtube.com/watch?v=OmJ5fxyXrfg;License: Standard YouTube License, CC-BY