1. The probability that a certain hockey team will win any given game is 0.3787 based on their 13 year win history of 392 wins out of 1035 games played (as of a certain date). Their schedule for November contains 12 games. Let X = number of games won in November. What is the probability that the hockey team wins 5 games in November? (Round your answer to four decimal places.)

2. According to The World Bank, only 9% of the population of Uganda had access to electricity as of 2009. Suppose we randomly sample 141 people in Uganda. Let X = the number of people who have access to electricity.(a) What is the probability distribution for X? X ~ B(141, 0.09)X ~ G(0.09) X ~ P(0.09)X ~ G(141)X ~ B(0.09, 141) (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.)

3. Suppose that 20,000 married adults in a country were randomly surveyed as to the number of children they have. The results are compiled and are used as theoretical probabilities. Let X = the number of children married people have.

x	P(x)	xP(x)
0	0.15
1	0.20
2	0.30
3
4	0.10
5	0.05
6 (or more)	0.05

(a) Find the probability that a married adult has three children. (Enter your answer to two decimal places.) (b) In words, what does the expected value in this example represent? the average number of children married adults in the country havethe number of children adults in the country have the number of children married adults in the country havethe average number of children adults in the country have (c) Find the expected value. (Enter your answer to two decimal place.) children (d) Is it more likely that a married adult will have two to three children or four to six children? How do you know? it is more likely to have four to six children, with p = 0.8it is more likely to have two to three children, with p = 0.3 it is more likely to have four to six children, with p = 0.1it is more likely to have two to three children, with p = 0.45it is more likely to have four to six children, with p = 0.2

4. Complete the PDF.

x	P(X = x)	x P(X = x)
0	0.1
1	0.4
2
3	0.2

• Part (a)Find the probability that X = 2.