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) (d) P(1 ≤ x ≤ 2)
Added by Alfredo M.
Step 1
07, we can use the binomial probability formula to calculate this probability. P(x < 2) = P(x = 0) + P(x = 1) P(x = 0) = (15 choose 0) * (0.07)^0 * (0.93)^15 = 0.315 P(x = 1) = (15 choose 1) * (0.07)^1 * (0.93)^14 = 0.602 Therefore, P(x < 2) = 0.315 + 0.602 = 0.917 Show more…
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