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In: Statistics and Probability

In a survey of U.S. adults with a sample size of 2040​, 315 said Franklin Roosevelt...

In a survey of U.S. adults with a sample size of 2040​, 315 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 II.

The probability that both adults say Franklin Roosevelt was the best president since World War II =

​(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 II =

​(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 II =

​(Round to three decimal places as​ needed.)

​(d) Which of the events can be considered​ unusual? Explain. Select all that apply:

a.The event in part​ (b) is unusual because its probability is less than or equal to 0.05.

b.None of these events are unusual

c.The event in part​ (c) is unusual because its probability is less than or equal to 0.05.

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

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Expert Solution

orchestra answered 1 year ago
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