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Chapter 3: Q. 32 (page 217)

Write the symbols for the probability that a player is an outfielder and is a great hitter.

Short Answer

Expert verified

The symbolsP[O鈭�H]that represent the likelihood of a player being an outfielder and a terrific hitter.

Step by step solution

01

Given

The following information is provided in the given question:

There are infielders and outfielders on a baseball team. Some players are excellent hitters, while others are not so good.

02

Explanation

The quiz asks you to write the symbols for an outfielder who is also a terrific batter.
As we can see, it is talking about "AND." In such case, we use the symbol "Intersection," written as " n," which signifies that it is present in both occurrences or, to put it another way, it is common to both.
Weemployaformulatodeterminetheprobability,suchasP[O鈭�H].
Where A and B are two occurrences, P[A鈭�B]=P(A)+P(B)-P(A鈭�B).
When events A and B are independent of one another, the intersection between them is zero P[A鈭�B]=P(A)脳P(B). When events A and B are mutually exclusive, the intersection between them is zero P[A鈭�B]=0.

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Most popular questions from this chapter

Use the following information to answer the next ten exercises. Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55%prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.6% of all Californians are Latino. In this problem, let: 鈥� C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.

Find P(C).

A school has 200 seniors of whom 140 will be going to college next year. Forty will be going directly to work.The remainder are taking a gap year. Fifty of the seniors going to college play sports. Thirty of the seniors going directly to work play sports. Five of the seniors taking a gap year play sports. What is the probability that a senior is taking a gap year?

A student goes to the library. Let events B = the student checks out a book and D = the student checks out a DVD. Suppose that P(B) = 0.40, P(D) = 0.30 and P(D|B) = 0.5.

a. Find P(B鈥�).

b. Find P(D AND B).

c. Find P(B|D).

d. Find P(D AND B鈥�).

e. Find P(D|B鈥�).

Use the following information to answer the next 12exercises. The graph shown is based on more than 1,70,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

Compute the average EHIS.

Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55%prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.6%of all Californians are Latino. In this problem, let: 鈥� C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.

Find P(C|L).

See all solutions

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