If x is a binomial random variable, calculate ?, ?2, and ?

Chapter 4, Problem 45E

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QUESTION:

If x is a binomial random variable, calculate \(\mu,\ \sigma^2,\ \text{and}\ \sigma\) for each of the following:

a. n = 25, p = .5

b. n = 80, p = .2

c. n = 100, p = .6

d. n = 70, p = .9

e. n = 60, p = .8

f. n = 1,000, p = .04

Questions & Answers

QUESTION:

If x is a binomial random variable, calculate \(\mu,\ \sigma^2,\ \text{and}\ \sigma\) for each of the following:

a. n = 25, p = .5

b. n = 80, p = .2

c. n = 100, p = .6

d. n = 70, p = .9

e. n = 60, p = .8

f. n = 1,000, p = .04

ANSWER:

Step 1 of 7

Let x follows the Binomial distribution with the probability mass function

P(X = x) = , n = 0, 1, 2, …, n.

Where, = np

 = npq , p = 1 - q  and

 =

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