According to The World Bank, only 9% of the population of Uganda hadaccess to electricity as of 2009. Suppose we randomly sample 155 people inUganda. Let X = the number of people who have access to electricity.(a) What is the probability distribution for X?O x~ B(155, 0.09)O x~ G(155)Оxм B(0.09, 155)O x~ G(0.09)O x ~ P(0.09)(b) Using the formulas, calculate the mean and standard deviation of X.(Enter your mean to two decimal places and round your standarddeviation to four decimal places.)mean13.95реoplestandard deviation3.56X people(c) Use your calculator to find the probability that 15 people in thesample have access to electricity. (Round your answer to four decimalplaces.)0.1032(d) Find the probability that at most ten people in the sample haveaccess to electricity. (Round your answer to four decimal places.)0.1666(e) Find the probability that more than 25 people in the sample haveaccess to electricity. (Round your answer to four decimal places.)0.0015Additional MaterialsM eBook The chance of an IRS audit for a tax return with over $25,000 in income isabout 2% per year. We are interested in the expected number of audits aperson with that income has in a 8-year period. Assume each year isindependent.Part (a)In words, define the Random Variable X.O the number of audits a person who has an income over $25,000 receives in a 8-yearperiodo the number of audits the IRS does each yearO the yearly income of a personO the number of audits the IRS does every 8 years for a person who has an incomeover $25,000Correct! This is a numerical measure of the outcome of the study.Part (b)List the values that X may take on.O x= 1, 2, 3, ..., 98, 99, 100O X= 1, 2, 3, ..O x= 0, 1, 2, ., 7, 8O x= 1, 2, 3, ., 7, 8Part (c)Give the distribution of X.X- B- (8 v . 0) - )Part (d)How many audits are expected in a 8-year period? (Round your answer to two decimalplaces.)0.16v auditsPart (e)Find the probability that a person is not audited at all. (Round your answer to four decimalplaces.)0.8507Part (f)Find the probability that a person is audited more than twice. (Round your answer to fourdecimal places.)0.9995Additional MaterialsO eBook

Hi! Thank you for the question, As per the honor code, we are allowed to answer one question with…

According to The World Bank, only 9% of the population of Uganda had access to electricity as of 2009. Suppose we randomly sample 155 people in Uganda. Let X = the number of people who have access to electricity. (a) What is the probability distribution for X? X - B(155, 0.09) X- G(155) O x- B(0.09, 155) O x- G(0.09) O x~ P(0.09) (b) Using the formulas, calculate the mean and standard deviation of X. (Enter your mean to two decimal places and round your standard deviation to four decimal places.) mean 13.95 people standard deviation 3.56 |× people (c) Use your calculator to find the probability that 15 people in the sample have access to electricity. (Round your answer to four decimal places.) 0.1032

According to The World Bank, only 9% of the population of Uganda had access to electricity as of 2009. Suppose we randomly sample 155 people in Uganda. Let X = the number of people who have access to electricity. (a) What is the probability distribution for X? X - B(155, 0.09) X- G(155) O x- B(0.09, 155) O x- G(0.09) O x~ P(0.09) (b) Using the formulas, calculate the mean and standard deviation of X. (Enter your mean to two decimal places and round your standard deviation to four decimal places.) mean 13.95 people standard deviation 3.56 |× people (c) Use your calculator to find the probability that 15 people in the sample have access to electricity. (Round your answer to four decimal places.) 0.1032

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The three-year recidivism rate of parolees in a certain state is about 20%; that is, 20% of…

Q: Suppose that 90% of the batteries from a certain brand have acceptable voltage. These batteries are…

A: Givensample size(n)=10p=(0.90)2 (since two batteries used to work flashlight)p=0.81

Q: (a) Find the probability that more than 40% of the people in this sample have highblood pressure.(b)…

A: Given : n=75 , p=0.3 Our aim is to find the following : (a) Find the probability that more than 40%…

Q: Suppose x is a normally distributed random variable with mean = 14 and st.dev = 2 . Find the…

Q: If it is known that the results of the report from the production department of a Garment Industry…

Q: In an election, suppose that 50% of voters support the incumbent candidate. If we poll 92 of these…

A: From the provided information,In an election, suppose 50% of voters support the incumbent candidate,…

Q: Consider the following scenario. An athlete who uses steroids will test positive with probability…

A: Solution: From the given information,

Q: The mean percent of childhood asthma in 43 cities is 2.31 %. A random sample of 30 of these cities…

A: Sample size(n)=30mean()=2.31%Standard deviation()=1.25%

Q: Suppose that 80% of drivers are "careful" and 20% are "reckless." Suppose further that a careful…

Q: ind the following probabilities 1) what is the probability that an Amazon.com visitor will buy four…

A: x 0 0.329 1 0.206 2 0.079 3 0.113 4 0.028 5 0.024 6 0.01 7 0.211 total 1.00

Q: opose a computer chip manufacturer finds that 20% of the chips produced during the velopment phase…

Q: A box contains two reward cards and three penalty cards. Player A draws a card at random and then…

A: Let Y1 be a random variable denoting the number of reward cards drawn by player A and Y2 denotes the…

Q: In an election, suppose that 60% of voters support the incumbent candidate. If we poll 105 of these…

A: The objective of this question is to find the mean and standard deviation of the proportion of…

Q: A manufacturer makes two models of an item: model I, which accounts for 81% of unit sales, and model…

A: Consider that event D defines that the model is defective.

Q: The Food Marketing Institute shows that 17% of households spend more than $100 per week on…

A: Given N=800 P=0.17

Q: The proportion of individuals that regularly smoke in a population is known to be 0.25. What is the…

A: Given information: p=0.25 Sample size, n=100

Q: If it is known that the results of the report from the production department of a Garment Industry…

A: Given that n =10 ,p =0.35

Q: Suppose that 20% of all M&Ms are yellow. We will choose a random sample of 11 M&Ms from this…

A: Let x follows binomial distribution with parameters n = 11 and p = 0.20 The pdf of binomial…

Q: In a 2018 study, it was determined that 14% of Americans . In a separate study, it was determined 9%…

A: Probability indicates the chances of occurring an event. It lies between 0 and 1. Let A be the…

Q: Conversely, if a table of x and p(x) values is provided (with no constant n and p). What calculator…

A: A probability distribution is given with x and P(x) values.

Q: . P(1) = 0.25, P(2) = −0.10, P(3) = 0.35, P(4) = 0.25 b. P(1) = 0.25, P(2) = 0.25, P(3) = 0.25,…

A: The experiment is of a 4-sided die. To check whether the following probability distributions are…

Q: Suppose that at Indiana State University, 35% of students are international students. What is the…

A: Solution-: Given: n=100,p=0.35 We find, P[40 students out of a randomly sampled group of 100 are…

Q: Suppose that at UCLA, 35% of students are international students. What is the probability that 40…

A: Solution-: Given: n=100,p=0.35 (35%) We find, P[X=40]=?

Q: at is the probability that 9 shoppers from this sample felt that regifting was socially acceptable?…

A: We have given that Sample size n = 10 Success of probability p= 0.81 X~binomial ( n , p)…

Q: Salomé is offered to place a $10 bet on a certain event the probability of which happening is…

A: Given that, the Probability of winning is 0.70 so the Probability of lossing is 1-0.7= 0.30. If he…

Q: Suppose that for Americans in the age group 18-24 years, sixty-eight percent had private health…

A: Let:p1 = percentage of private health insurance for the 18-24 age group = 68%p2 = percentage of…

Q: ssume that 33.2% of people have sleepwalked. Assume that in a random sample of 1454 adults, 523…

A: Given: The population proportion of people who sleepwalked, P = 0.332 Sample size, n =…

Q: The proportion of individuals insured by a certain company who received at least one traffic ticket…

A: Formula for z-score is z = p̂ - μ_p̂ / σ_p̂

Q: at the bank of california, past data show that 8% of all credit card holders default at some time in…

Q: The reported cancer rates for men ages 65 and older is 23%. Assume this estimate is the true…

A: The random variable cancer rate follows binomial distribution. The population proportion is 0.23.…

Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

According to The World Bank, only 9% of the population of Uganda had
access to electricity as of 2009. Suppose we randomly sample 155 people in
Uganda. Let X = the number of people who have access to electricity.
(a) What is the probability distribution for X?
O x~ B(155, 0.09)
O x~ G(155)
Оxм B(0.09, 155)
O x~ G(0.09)
O x ~ P(0.09)
(b) Using the formulas, calculate the mean and standard deviation of X.
(Enter your mean to two decimal places and round your standard
deviation to four decimal places.)
mean
13.95
реople
standard deviation
3.56
X people
(c) Use your calculator to find the probability that 15 people in the
sample have access to electricity. (Round your answer to four decimal
places.)
0.1032
(d) Find the probability that at most ten people in the sample have
access to electricity. (Round your answer to four decimal places.)
0.1666
(e) Find the probability that more than 25 people in the sample have
access to electricity. (Round your answer to four decimal places.)
0.0015
Additional Materials
M eBook

The chance of an IRS audit for a tax return with over $25,000 in income is
about 2% per year. We are interested in the expected number of audits a
person with that income has in a 8-year period. Assume each year is
independent.
Part (a)
In words, define the Random Variable X.
O the number of audits a person who has an income over $25,000 receives in a 8-year
period
o the number of audits the IRS does each year
O the yearly income of a person
O the number of audits the IRS does every 8 years for a person who has an income
over $25,000
Correct! This is a numerical measure of the outcome of the study.
Part (b)
List the values that X may take on.
O x= 1, 2, 3, ..., 98, 99, 100
O X= 1, 2, 3, ..
O x= 0, 1, 2, ., 7, 8
O x= 1, 2, 3, ., 7, 8
Part (c)
Give the distribution of X.
X- B- (8 v . 0) - )
Part (d)
How many audits are expected in a 8-year period? (Round your answer to two decimal
places.)
0.16
v audits
Part (e)
Find the probability that a person is not audited at all. (Round your answer to four decimal
places.)
0.8507
Part (f)
Find the probability that a person is audited more than twice. (Round your answer to four
decimal places.)
0.9995
Additional Materials
O eBook

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Continuous Probability Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

It has been estimated that only about 25% of residents in Ventura County have adequate earthquake supplies. Suppose you randomly survey 5 residents in the County. Let X be the number of residents who have adequate earthquake supplies. Please show the following answers to 4 decimal places. a. What is the probability that exactly 2 residents who have adequate earthquake supplies in this survey? b. What is the probability that less than 2 residents who have adequate earthquake supplies in this survey? c. What is the probability that at most 2 residents who have adequate earthquake supplies in this survey? d. What is the probability that between 1 and 3 (including 1 and 3) residents who have adequate earthquake supplies in this survey?
If Y is a random variable from an exponential distribution with a mean of 5; what is the probability that Y is more than 7?
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
A large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Y1 = 0, if the policy holder does not have any health issues; Y1 = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
suppose we select an SRS of 1010 adults. If it is believed that 60% of all adults are very satisfied with their lives, what is the probability that at least 610 adults in our sample are very satisfied with their lives?Let X be the number (out of 1010) of adults who are very satisfied with their lives. What distribution should X have? Why?
The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 53.9%. What is the probability that in a random sample of 430 voters, less than 49.2% say they will vote for the incumbent?
Based on a Comcast survey, there is a 0.8 probability that a randomly selected adult will watch prime-time TV live, instead of online, on DVR, etc. Assume that seven adults are randomly selected. Find the probability that fewer than three of the selected adults watch prime-time live. OA. 0.00430 B. 0.000358 OC. 0.0512 O D. 0.00467
A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. • Let X = the number of years a student will study ballet with the teacher. • Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) x P(x) x*P(x) 1 0.10 2 0.10 3 0.20 4 5 0.20 6 0.20 7 0.05
27.4% of males and 22.8% of females never eat breakfast. Suppose that random samples of 200 men and 200 women are drawn. What is the probability that no more than 108 of these 400 people never eat breakfast?