According to The World Bank, only 9% of the population of Uganda had access to electricity as of 2009. Suppose we randomly sample 196 people in Uganda. Let X = the number of people who have access to electricity. (a) What is the probability distribution for X? X ~ P(0.09) O X~ B(0.09, 196) O X ~ B(196, 0.09) O X~ G(196) O X~ G(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 people standard deviation реople (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.)

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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 196 people in Uganda.
Let X = the number of people who have access to electricity.
(a) What is the probability distribution for X?
P(0.09)
В (0.09, 196)
В(196, 0.09)
G(196)
G(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
реople
standard deviation
реople
(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.)
(d) Find the probability that at most ten people in the sample have access to electricity. (Round your answer to four decimal places.)
(e) Find the probability that more than 25 people in the sample have access to electricity. (Round your answer to four decimal places.)
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 196 people in Uganda. Let X = the number of people who have access to electricity. (a) What is the probability distribution for X? P(0.09) В (0.09, 196) В(196, 0.09) G(196) G(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 реople standard deviation реople (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.) (d) Find the probability that at most ten people in the sample have access to electricity. (Round your answer to four decimal places.) (e) Find the probability that more than 25 people in the sample have access to electricity. (Round your answer to four decimal places.)
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