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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

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

Blood Type About 45 % of the populations of the United States and Canada have Type O blood.

(a) If a random sample of ten people is selected, what is the probability that exactly five have Type O blood?

(b) What is the probability that at least three of the random sample of ten have Type O blood?

To determine

(a)

To find:

The probability that exactly five have Type O blood in a random sample of ten people.

Explanation

Given:

45% of the populations of the United States and Canada have Type O blood.

Approach:

For a binomial experiment with two outcomes with outcome of success in each trial equal to p.

The probability of r successes in n trials is equal to

P (r successes in n trials) =C(n,r)pr(1p)nr (1)

Calculation:

Interpret this problem as a binomial experiment with two outcomes: a person has Type O blood or the person does not have Type O blood. “Success” is the event that a person has Type O.

Probability of success,

p=0.45

Number of trials, n=10

Problem asks probability of exactly five people having Type O blood. This gives:

r=5

Substitute n,p,r in equation (1) to get

To determine

(b)

To find:

The probability that at least three have Type O blood in a random sample of ten people.

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Chapter 14 Solutions

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