In a sample of 2008 U.S. adults, 314 said Franklin Roosevelt was the best presid

Question

In a sample of 2008 U.S. adults, 314 said Franklin Roosevelt was the best president since World War II. Two U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S. adults, complete parts (a) through (d) (a) Find the probability that both adults say Franklin Roosevelt was the best president since World War The probability that both adults say Franklin Roosevelt was the best president since World Warll is Round to three decimal places as needed.) (b) Find the probability that neither adult says Franklin Roosevelt was the best president since World War lI The probability that neither adult says Franklin Roosevelt was the best president since World War ll is Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults says Franklin Roosevelt was the best president since World War I The probability that at least one of the two adults says Franklin Roosevelt was the best president since World War I is (Round to three decimal places as needed.) (d) Which of the events can be considered unusual? Explain. Select all that apply. The event in part (c) is unusual because its probability is less than or equal to 0.05 The event in part (b) is unusual because its probability is less than or equal to 0.05. The event in part (a) is unusual because its probability is less than or equal to 0.05 None of these events are unusual

Explanation / Answer

Probability of a person saying F.Roosevelt was best president since world war II

= 314/2008

a. Probability that both people say F.Roosevelt was best president

= 314/2008 * 314/2008

= 0.024

b. Probability that neither says F.Roosevelt was best president

= (1 - 314/2008) * (1 - 314/2008)

= 0.712.

c. Probability that atleast one says F.Roosevelt was best president

= 1 - 0.712

= 0.288.

d. The event in part (a) is unusual because it's probability is less than or equal to 0.05.

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