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A news company reported that 8% of adult Americans have a food allergy. Consider selecting 15...

A news company reported that 8% of adult Americans have a food allergy. Consider selecting 15 adult Americans at random. Define the random variable x as x = number of people in the sample of 15 that have a food allergy. Find the following probabilities. (Round your answers to three decimal places.)

(a)P(x < 2)

(b)P(x ≤ 2)

(c)P(x ≥ 3)

(d)P(1 ≤ x ≤ 2)

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