In a survey of U.S. adults with a sample size of 2033, 300 said Franklin Roosevelt was the best president since World War II. Two U.S. adults are selected at random from this sample without replacement. Complete parts (a) through (d). (a) Find the probability that both adults say Franklin Roosevelt was the best president since World War II. The probability that both adults say Franklin Roosevelt was the best president since World War II 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 II. The probability that neither adult says Franklin Roosevelt was the best president since World War Il 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 II.

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In a survey of U.S. adults with a sample size of 2033, 300 said Franklin Roosevelt was the best president since World War II. Two U.S. adults are selected at random from this sample without replacement. Complete parts (a) through (d).
(a) Find the probability that both adults say Franklin Roosevelt was the best president since World War II.
The probability that both adults say Franklin Roosevelt was the best president since World War |l 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 I.
The probability that neither adult says Franklin Roosevelt was the best president since World War Il 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 II.
The probability that at least one of the two adults says Franklin Roosevelt was the best president since World War Il 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 (a) is unusual because its probability is less than or equal to 0.05.
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.
O None of these events are unusual.
O O O O
Transcribed Image Text:In a survey of U.S. adults with a sample size of 2033, 300 said Franklin Roosevelt was the best president since World War II. Two U.S. adults are selected at random from this sample without replacement. Complete parts (a) through (d). (a) Find the probability that both adults say Franklin Roosevelt was the best president since World War II. The probability that both adults say Franklin Roosevelt was the best president since World War |l 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 I. The probability that neither adult says Franklin Roosevelt was the best president since World War Il 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 II. The probability that at least one of the two adults says Franklin Roosevelt was the best president since World War Il 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 (a) is unusual because its probability is less than or equal to 0.05. 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. O None of these events are unusual. O O O O
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