According to The World Bank, only 9% of the population of Uganda had access to electricity as of 2009. Suppose we randomly sample 163 people in Uganda. Let X = the number of people who have access to electricity. (a) What is the probability distribution for X? X ~ B(163, 0.09)X ~ P(0.09) X ~ G(0.09)X ~ G(163)X ~ B(0.09, 163) (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 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.)
According to The World Bank, only 9% of the population of Uganda had access to electricity as of 2009. Suppose we randomly sample 163 people in Uganda. Let X = the number of people who have access to electricity. (a) What is the probability distribution for X? X ~ B(163, 0.09)X ~ P(0.09) X ~ G(0.09)X ~ G(163)X ~ B(0.09, 163) (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 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.)
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 18T: You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 300...
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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 163 people in Uganda. Let X = the number of people who have access to electricity.
(a) What is the probability distribution for X?
(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.)
(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.)
X ~ B(163, 0.09)X ~ P(0.09) X ~ G(0.09)X ~ G(163)X ~ B(0.09, 163)
(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 | 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.)
(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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