25. Best President In a sample of 2016 U.S. adults, 383 said Franklin Roosevelt

Question

25. Best President In a sample of 2016 U.S. adults, 383 said Franklin Roosevelt was the best president since World War II. Two U.S. adults are selected at random without replacement. (Adapted from Harris Interactive) (a) Find the probability that both adults say Franklin Roosevelt was the best (b) Find the probability that neither adult says Franklin Roosevelt was the (c) Find the probability that at least one of the two adults says Franklin (d) Which of the events can be considered unusual? Explain. president since World War II. best president since World War II. Roosevelt was the best president since World War II.

Explanation / Answer

Solution:-   Probability one adults say frankin roosevelt was best president since world war II is 383/2016

a) The probability that both adults say frankin rossevelt was the best president is (383/2016)*(382/2015) = 0.036

b) The probability that nither adult says franklin roosevelt was the best president is

(1633/2016)*(1632/2015) = 0.656

c) The probability that at least one of the two adults says franklin Roosevelt was the best president is

1 - 0.656 = 0.344   

d) the  part (a) is unusual because its probability is less than or equal to 0.05

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