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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∩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∩H].
Where A and B are two occurrences, P[A∩B]=P(A)+P(B)-P(A∪B).
When events A and B are independent of one another, the intersection between them is zero P[A∩B]=P(A)×P(B). When events A and B are mutually exclusive, the intersection between them is zero P[A∩B]=0.

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Most popular questions from this chapter

Use the following information to answer the next four exercises. Table 3.15shows a random sample of musicians and how they learned to play their instruments.

Are the events “being a female musician” and “learning music in school” mutually exclusive events?

Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 64stamped, addressed envelopes with $10cash in different classrooms on the George Washington campus. 44%were returned overall. From the economics classes 56%of the envelopes were returned. From the business, psychology, and history classes 31%were returned.

Let:R = money returned;E = economics classes; O = other classes

a. Write a probability statement for the overall percent of money returned.

b. Write a probability statement for the percent of money returned out of the economics classes.

c. Write a probability statement for the percent of money returned out of the other classes.

d. Is money being returned independent of the class? Justify your answer numerically and explain it.

e. Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.

The graph in Figure 3.11displayed concerning their approval of Mayor Ford’s actions in office. The total number in the sample of all the age groups is 1.045.

a. Define three events in the graph.

b. Describe in words what the entry 40means.

c. Describe in words the complement of the entry in question 2.

d. Describe in words what the entry 30means.

e. Out of the males and females, what percent are males?

f. Out of the females, what percent disapprove of Mayor Ford?

g. Out of all the age groups, what percent approve of Mayor Ford?

h. Find P(Approve| Male).

i. Out of the age groups, what percent are more than 44years old?

j. Find P(Approve| Age < 35).

Use the following information to answer the next three exercises. The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. The table used to place bets contains of 38numbers, and each number is assigned to a color and a range.

Compute the probability of winning the following types of bets:

a. Betting on a color

b. Betting on one of the dozen groups

c. Betting on the range of numbers from 1to18

d. Betting on the range of numbers19-36

e. Betting on one of the columns

f. Betting on an even or odd number (excluding zero)

What is the probability of drawing a red card in a standard deck of 52cards?
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