Assume that x is a binomial random variable with n = 80 and p = 0.5. Use a normal approximation to find each of the following probabilities. a. P(x ≤33) b. P(37 ≤x≤47) c. P(x ≥ 36)

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Assume that x is a binomial random variable with n = 80 and p = 0.5. Use a normal
approximation to find each of the following probabilities.
a. P(x ≤ 33)
b. P(37 ≤x≤47)
c. P(x ≥ 36)
a. P(x≤33) =
(Round to four decimal places as needed.)
Transcribed Image Text:Assume that x is a binomial random variable with n = 80 and p = 0.5. Use a normal approximation to find each of the following probabilities. a. P(x ≤ 33) b. P(37 ≤x≤47) c. P(x ≥ 36) a. P(x≤33) = (Round to four decimal places as needed.)
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