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

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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?
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
Transcribed Image Text: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
Transcribed Image Text: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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