Question

Let X represent a binomial random variable with n = 180 and p = 0.25. Find...

Let X represent a binomial random variable with n = 180 and p = 0.25. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.)

a. P(X ≤ 45)

b. P(X = 35)

c. P(X > 55)

d P(X ≥ 50)

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Homework Answers

Answer #1

Given :

Let X represent a binomial random variable with

n = 170 and p = 0.23.

The probability function of Binomial Distribution is given by

Therefore

a. P(X ≤ 35) = 0.2590

b. P(X = 25) = 0.0022

c. P(X > 45) = 0.1227

d. P(X ≥ 40) = 0.4645

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