   Chapter 14.3, Problem 19E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# SKILLS17-20 Probability Distribution A binomial experiment with probability of success p is performed n times. (a) Make a table of the probability distribution. (b) Draw a probability histogram. n = 7 , p = 0.2

To determine

(a)

To make:

The table of probability distribution.

Explanation

Approach:

The probability of getting exactly r successes in n independent trials of the experiment is

P(rsuccessesinntrials)=C(n,r)pr(1p)nr=n!r!(nr)!pr(1p)nr ...... (1)

The probability of failure is given as:

P(failure)=1p ……(2)

Calculation:

The number of independent trial is,

n=7

The probability of success is,

p=0.2

Calculate the probability of 0 success.

Substitute 0 for r, 0.2 for p and 7 for n in equation (1).

P(0)=7!0!(70)!(0.2)0(10.2)70=1(1)(0.2097152)=0.20971520.2097

Calculate the probability of 1 success.

Substitute 1 for r, 0.2 for p and 7 for n in equation (1).

P(1)=7!1!(71)!(0.2)1(10.2)71=7(0.2)(0.262144)=0.36700160.3670

Calculate the probability of 2 success.

Substitute 2 for r, 0.2 for p and 7 for n in equation (1).

P(2)=7!2!(71)!(0.2)2(10.2)72=21(0.04)(0.32768)=0.27525120.2753

Calculate the probability of 3 success.

Substitute 3 for r, 0.2 for p and 7 for n in equation (1).

P(3)=7!3!(73)!(0.2)3(10.2)73=35(0.008)(0

To determine

(b)

To draw:

The probability histogram.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 