   # Consider a binomial experiment with n = 20 and p = .70. a. Compute f (12). b. Compute f (16). c. Compute P ( x ≥ 16). d. Compute P ( x ≤ 15). e. Compute E ( x ). f. Compute Var ( x ) and σ . 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

#### Solutions

Chapter
Section 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 5.5, Problem 33E
Textbook Problem
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## Consider a binomial experiment with n = 20 and p = .70. a. Compute f(12). b. Compute f(16). c. Compute P(x ≥ 16). d. Compute P(x ≤ 15). e. Compute E(x). f. Compute Var (x) and σ.

a.

To determine

Find the value of f(12).

### Explanation of Solution

Calculation:

The binomial experiment with n=20 and p=0.70.

The probability of obtaining x successes in n independent trails of a binomial experiment is,

f(x)=(nx)px(1p)nx,x=0,1,2,...,n

Where, p is the probability of success.

Substitute values n=20 and p=0.70 and x=12

b.

To determine

Find the value of, f(16).

c.

To determine

Find the value of, P(x16).

d.

To determine

Find the value of, P(x15).

e.

To determine

Compute the expected value.

f.

To determine

Compute the variance and standard deviation.

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