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

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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

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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

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