A news company reported that 6% of adult Americans have a food allergy. Consider selecting 10 adult Americans at random. Define the random variable x as x = number of people in the sample of 10 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)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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A news company reported that 6% of adult
Americans have a food allergy. Consider
selecting 10 adult Americans at random.
Define the random variable x as
x = number of people in the sample of 10 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)
Transcribed Image Text:A news company reported that 6% of adult Americans have a food allergy. Consider selecting 10 adult Americans at random. Define the random variable x as x = number of people in the sample of 10 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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