   Chapter 14.3, Problem 30E ### 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

# Education Level In a certain county 20   % of the population has a college degree. A jury consisting of 12 people is selected at random from this county.(a) What is the probability that exactly two of the jurors have a college degree?(b) What is the probability that three or more of the jurors have a college degree?

To determine

(a)

To find:

The probability that two of the jurors have a college degree.

Explanation

Given:

In a certain county 20% of the population has a college degree. A jury consisting of 12 people is selected at random from this county.

Approach:

The formula for getting exactly r successes in n independent trials is,

P(X=r)=C(n,r)pr(1p)nr(1)

Here, X is a random variable.

The formula for the complement of event E is,

P(E)=1P(E)(2)

Here, E denotes the complement of E

To determine

(b)

To find:

The probability that three or more of the jurors have a college degree.

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