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Chapter 3: Q. 30 (page 217)

Write the symbols for the probability that of all the great hitters, a player is an outfielder.

Short Answer

Expert verified

The symbol indicating the likelihood that a player is an outfielder among all the great hitters is:P(O∣H)

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

Calculation

Let I represent a player who is an infielder.
Let O represent the possibility that a player is an outfielder.
Let H= be the case when a player is a fantastic hitter.
Let N represent the possibility that a guy isn't a particularly good hitter.
We need to create the symbol for the chance that a player is an outfielder out of all the outstanding batters.
Using the conditional probability event, the symbol for the likelihood that a player is an outfielder among all the great hitters is:

P(O∣H)

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Most popular questions from this chapter

At a college, 72%of courses have final exams and 46%of courses require research papers. Suppose that 32%of courses have a research paper and a final exam. Let F be the event that a course has a final exam. Let R be the event that a course requires a research paper.

a. Find the probability that a course has a final exam or a research project.

b. Find the probability that a course has NEITHER of these two requirements.

In a bag, there are six red marbles and four green marbles. The red marbles are marked with the numbers 1, 2, 3,4, 5, and 6. The green marbles are marked with the numbers 1, 2, 3, and 4.

• R = a red marble

• G = a green marble

• O = an odd-numbered marble

• The sample space is S = {R1, R2, R3, R4, R5, R6, G1, G2, G3, G4}.

S has ten outcomes. What is P(G AND O)?

After Rob Ford, the mayor of Toronto, announced his plans to cut budget costs in late 2011, the Forum Research polled 1,046people to measure the mayor’s popularity. Everyone polled expressed either approval or disapproval. These are the results their poll produced:

• In early 2011,60percent of the population approved of Mayor Ford’s actions in office.

• In mid-2011,57percent of the population approved of his actions.

• In late 2011, the percentage of popular approval was measured at 42percent.

a. What is the sample size for this study?

b. What proportion in the poll disapproved of Mayor Ford, according to the results from late 2011?

c. How many people polled responded that they approved of Mayor Ford in late 2011?

d. What is the probability that a person supported Mayor Ford, based on the data collected in mid-2011?

e. What is the probability that a person supported Mayor Ford, based on the data collected in early 2011?

A jar of 150 jelly beans contains 22 red jelly beans, 38

yellow, 20 green, 28 purple, 26 blue, and the rest are orange.

Let B = the event of getting a blue jelly bean

Let G = the event of getting a green jelly bean.

Let O = the event of getting an orange jelly bean.

Let P = the event of getting a purple jelly bean.

Let R = the event of getting a red jelly bean.

Let Y = the event of getting a yellow jelly bean.

Find P(G).

A shelf holds 12books. Eight are fiction and the rest are nonfiction. Each is a different book with a unique title. The fiction books are numbered one to eight. The nonfiction books are numbered one to four. Randomly select one book

Let F = event that book is fiction

Let N = event that book is nonfiction

What is the sample space?
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