A news company reported that 7% 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)

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A news company reported that 7% 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)
 
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