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Chapter 5: Q 12. (page 246)

A and B are events such that P(A)=0.2,P(B)=0.6,andP(A&B)=0.1. FindP(AorB).

Short Answer

Expert verified

PAorB=0.7

Step by step solution

01

Step 1. Given information.

The given statement is:

A and B are events such that P(A)=0.2,P(B)=0.6,andP(A&B)=0.1.

02

Step 2. Find P(A or B).

If there are two events Aand Bthen the probability of either A, B, or both occurring is P(A or B), and the likelihood of both A and Boccurring is P(A & B).

Therefore, the probability of events A and B are mutually exclusive will become:

PAorB=PA+PB-PA&B=0.2+0.6-0.1=0.7

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Most popular questions from this chapter

Let A and B be events of a sample space.

Part (a) Suppose that A and (not B) are mutually exclusive. Explain why B occurs when A occurs.

Part (b) Suppose that B occurs whenever A occurs Explain why A and (not B) are mutually exclusive.

U.S. Governors. In 2013, according to the National Governors Association, 30 of the 50 state governors were Republicans. Suppose that on each day of 2013, one U.S. state governor was randomly selected to read the invocation on a popular radio program. On approximately how many of those days should we expect that a Republican was chosen?

In each of Exercises 5.167-5.172, we have provided the number of trials and success probability for Bernoulli trials. Let X denote the total number of successes. Determine the required probabilities by using

(a) the binomial probability formula, Formula 5.4 on page 236. Round your probability answers to three decimal places.

(b) Table VII in Appendix A. Compare your answer here to that in part (a).

n=4,p=0.3,P(X=2)

Bilingual and Trilingual. At a certain university in the United States, 62 % of the students are at least bilingual - speaking English and at least one other language. Of these students, 80 % speak Spanish and, of the 80 % who speak Spanish, 10 % also speak French. Determine the probability that a randomly selected student at this university

(a) does not speak Spanish.

(b) speaks Spanish and French.

Compute3!,7!,8!,and9!.
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