According to The World Bank, only 9% of the population of Uganda had access to electricity as of 2009. Suppose we randomly sample 144 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(0.09, 144) X ~ G(0.09) X ~ B(144, 0.09) X ~ G(144) 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 12.9600 people standard deviation 3.4342 v 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.) 0.0914 (d) Find the probability that at most ten people in the sample have access to electricity. (Round your answer to four decimal places.) 0.0869 (e) Find the probability that more than 25 people in the sample have access to electricity. (Round your answer to four decimal places.) 0.2430
According to The World Bank, only 9% of the population of Uganda had access to electricity as of 2009. Suppose we randomly sample 144 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(0.09, 144) X ~ G(0.09) X ~ B(144, 0.09) X ~ G(144) 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 12.9600 people standard deviation 3.4342 v 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.) 0.0914 (d) Find the probability that at most ten people in the sample have access to electricity. (Round your answer to four decimal places.) 0.0869 (e) Find the probability that more than 25 people in the sample have access to electricity. (Round your answer to four decimal places.) 0.2430
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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 144 people in
Uganda. Let X
the number of people who have access to electricity.
(a) What is the probability distribution for X?
X ~ B(0.09, 144)
O x~ G(0.09)
X~ B(144, 0.09)
O x~ G(144)
O x~ P(0.09)
(b) Using the formulas, calculate the
and standard deviation of X.
(Enter your mean to two decimal places and round your standard
deviation to four decimal places.)
mean
12.9600
V people
standard deviation
3.4342
V 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.)
0.0914
(d) Find the probability that at most ten people in the sample have
access to electricity. (Round your answer to four decimal places.)
0.0869
(e) Find the probability that more than 25 people in the sample have
access to electricity. (Round your answer to four decimal places.)
0.2430
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