Mathematical Applications for the Management, Life, and Social Sciences
11th Edition
ISBN: 9781305108042
Author: Ronald J. Harshbarger, James J. Reynolds
Publisher: Cengage Learning
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Chapter 8.3, Problem 9E
To determine
To calculate: The expected value of the discrete probability distribution.
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A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts?
1. Compute the probability of a value between 44.0 and 55.0.
(The question requires finding probability value between 44 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 44, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the answer of the second part.)
2. Compute the probability of a value greater than 55.0.
Use the same formula, x=55 and subtract the answer from 1.
3. Compute the probability of a value between 52.0 and 55.0.
(The question requires finding probability value between 52 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 52, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the…
Assume that you fancy polynomial splines, while you actually need ƒ(t) = e²/3 – 1 for t€ [−1, 1].
See the figure for a plot of f(t).
Your goal is to approximate f(t) with an inter-
polating polynomial spline of degree d that is
given as sa(t)
=
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Σk=0 Pd,k bd,k(t) so that
sd(tk) = = Pd,k for tk = −1 + 2 (given d > 0)
with basis functions bd,k(t) = Σi±0 Cd,k,i
=
•
The special case of d 0 is trivial: the only
basis function b0,0 (t) is constant 1 and so(t) is
thus constant po,0 for all t = [−1, 1].
...9
The d+1 basis functions bd,k (t) form a ba-
sis Bd {ba,o(t), ba,1(t), bd,d(t)} of the
function space of all possible sα (t) functions.
Clearly, you wish to find out, which of them
given a particular maximal degree d is the
best-possible approximation of f(t) in the least-
squares sense.
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0.1 0.2 0.3 0.4 0.5…
If a uniform distribution is defined over the interval from 6 to 10, then answer the followings:
What is the mean of this uniform distribution?
Show that the probability of any value between 6 and 10 is equal to 1.0
Find the probability of a value more than 7.
Find the probability of a value between 7 and 9.
The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be:
More than $27?
Less than or equal to $24?
The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches.
What is the mean amount of rainfall for the month?
What is the probability of less than an inch of rain for the month?
What is the probability of exactly 1.00 inch of rain?
What is the probability of more than 1.50 inches of rain for the month?
The best way to solve this problem is begin by a step by step creating a chart. Clearly mark the range, identifying the…
Chapter 8 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
Ch. 8.1 - Determine whether the following experiments...Ch. 8.1 - Prob. 2CPCh. 8.1 - Determine whether the following experiments...Ch. 8.1 - Prob. 4CPCh. 8.1 - 1. Suppose a fair die is rolled 18 times.
(a) What...Ch. 8.1 - 2. Suppose a fair coin is tossed 12 times.
(a)...Ch. 8.1 - Prob. 3ECh. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Prob. 6E
Ch. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10ECh. 8.1 - 11. Suppose a pair of dice is thrown 4 times. What...Ch. 8.1 - Prob. 12ECh. 8.1 - 13. Suppose the probability that a marksman will...Ch. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - 16. Testing A multiple-choice test has 10...Ch. 8.1 - Management The manager of a store buys weather...Ch. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Genetics If the probability that a certain couple...Ch. 8.1 - Prob. 21ECh. 8.1 - 22. Employee benefits In a certain school...Ch. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - 27. Sports A baseball player has a lifetime...Ch. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - 31. Testing A quiz consists of 10 multiple-choice...Ch. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.2 - Prob. 1CPCh. 8.2 - Prob. 2CPCh. 8.2 - Prob. 3CPCh. 8.2 - Prob. 4CPCh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - In Problems 33-36, find the mean and standard...Ch. 8.2 - Prob. 36ECh. 8.2 - Prob. 38ECh. 8.2 - Assume all data are sample data.
39. Cell phones...Ch. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.3 - 1. Consider a game in which you roll a the and...Ch. 8.3 - Prob. 2CPCh. 8.3 - Prob. 3CPCh. 8.3 - 4. A fair cube is colored so that 4 faces are...Ch. 8.3 - Prob. 1ECh. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - 17. Suppose an experiment has six possible...Ch. 8.3 - Prob. 18ECh. 8.3 - 19. Five slips of paper containing the numbers 0,...Ch. 8.3 - Prob. 20ECh. 8.3 - 21. A die is rolled 3 times, and success is...Ch. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - 27. Suppose a pair of dice is thrown 900 times....Ch. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - 30. Expand
Ch. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - 37. Raffle A nonprofit organization sells chances...Ch. 8.3 - 38. Lottery A charity sells raffle tickets for $1...Ch. 8.3 - 39. Gambling Suppose a student is offered a chance...Ch. 8.3 - Prob. 40ECh. 8.3 - Prob. 41ECh. 8.3 - Prob. 42ECh. 8.3 - Prob. 43ECh. 8.3 - Prob. 44ECh. 8.3 - Prob. 45ECh. 8.3 - Prob. 46ECh. 8.3 - Prob. 47ECh. 8.3 - 48. Cancer research Suppose it has been determined...Ch. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.3 - Prob. 51ECh. 8.3 - Prob. 52ECh. 8.3 - Prob. 53ECh. 8.3 - Prob. 54ECh. 8.3 - 53. Quality control A certain calculator circuit...Ch. 8.3 - Prob. 56ECh. 8.3 - Prob. 57ECh. 8.3 - 56. Quality control The probability that a...Ch. 8.4 - 1. The mean of a normal distribution is 25, and...Ch. 8.4 - Prob. 2CPCh. 8.4 - 3. For the normal distribution with mean 70 and...Ch. 8.4 - Prob. 1ECh. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Suppose a population of scores x is normally...Ch. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - Prob. 27ECh. 8.4 - 28. Find the number A that satisfies for the...Ch. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - 31. Growth The Fish Commission states that the...Ch. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - 34. Mating calls The durations of the mating calls...Ch. 8.4 - Prob. 35ECh. 8.4 - 36. Testing The Scholastic Aptitude Test (SAT)...Ch. 8.4 - 37. Mileage A certain model of automobile has its...Ch. 8.4 - Prob. 38ECh. 8.4 - 39. Blood pressure Systolic blood pressure for a...Ch. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Prob. 45ECh. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.5 - Prob. 1CPCh. 8.5 - Prob. 2CPCh. 8.5 - Prob. 1ECh. 8.5 - Prob. 2ECh. 8.5 - Prob. 3ECh. 8.5 - Prob. 4ECh. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - Prob. 8ECh. 8.5 - Prob. 9ECh. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - For the binomial experiments in Problems 5-18,...Ch. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - Prob. 15ECh. 8.5 - Prob. 16ECh. 8.5 - Prob. 17ECh. 8.5 - Prob. 18ECh. 8.5 - Prob. 19ECh. 8.5 - Prob. 20ECh. 8.5 - Prob. 21ECh. 8.5 - Prob. 22ECh. 8.5 - Prob. 23ECh. 8.5 - Prob. 24ECh. 8.5 - Prob. 25ECh. 8.5 - Prob. 26ECh. 8.5 - Prob. 27ECh. 8.5 - Prob. 28ECh. 8.5 - Prob. 29ECh. 8.5 - In the following problems, use a normal...Ch. 8.5 - Prob. 31ECh. 8.5 - Prob. 32ECh. 8.5 - Prob. 33ECh. 8.5 - Prob. 34ECh. 8.5 - Prob. 35ECh. 8.5 - Prob. 36ECh. 8.5 - Prob. 37ECh. 8.5 - Prob. 38ECh. 8 - 1. If the probability of success on each trial of...Ch. 8 - Prob. 2RECh. 8 - 3. If a die is rolled 4 times, what is the...Ch. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Determine whether each function or table in...Ch. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Prob. 23RECh. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - 39. Sampling Suppose of a population opposes a...Ch. 8 - Prob. 40RECh. 8 - 41. Disease One person in 100,000 develops a...Ch. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - 46. Fraud A company selling substandard drugs to...Ch. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - 51. Net worth Suppose the mean net worth of the...Ch. 8 - 52. Testing The length of time it takes to...Ch. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 1TCh. 8 - Prob. 2TCh. 8 - Prob. 3TCh. 8 - Prob. 4TCh. 8 - Prob. 5TCh. 8 - Prob. 6TCh. 8 - 7. If the variable x is normally distributed, with...Ch. 8 - Prob. 8TCh. 8 - Prob. 9TCh. 8 - Prob. 10TCh. 8 - Prob. 11TCh. 8 - Prob. 12TCh. 8 - Prob. 13TCh. 8 - Prob. 14TCh. 8 - Prob. 15TCh. 8 - Prob. 16TCh. 8 - Prob. 17TCh. 8 - Prob. 18TCh. 8 - Prob. 19TCh. 8 - Prob. 20TCh. 8 - Prob. 21TCh. 8 - Prob. 1EAGP1
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