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In a sample of 2019 U.S. adults, 300 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.

(b) Find the probability that neither adult says Franklin Roosevelt was the best president since World War II.

(c) Find the probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II.

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

  1. None of these events are unusual. 
  2. The event in part (C) is unusual because its probability is less than or equal to 0.05. 
  3. The event in part (b) is unusual because its probability is less than or equal to 0.05. 
  4. The event in part (a) is unusual because its probability is less than or equal to 0.05.