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Chapter 3: Q. 24 (page 217)

Use the following information to answer the next ten exercises. On a baseball team, there are infielders and outfielders.

Some players are great hitters, and some players are not great hitters.

Let I = the event that a player in an infielder.

Let O = the event that a player is an outfielder.

Let H = the event that a player is a great hitter.

Let N = the event that a player is not a great hitter.

Write the symbols for the probability that a player is not an outfielder.

Short Answer

Expert verified

The symbol indicating a player's likelihood of being an outfielder or a terrific hitter is: PO'=P(I)

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= In the case that a player is assigned to the infield.

Let O=If a player is an outfielder, this is the case.

Let H=in the case that a player is an exceptional hitter

Let N=In the case that a player isn't a particularly good hitter.

The symbol denoting the chance that a player is not an outfielder must be written.

The symbol for the likelihood that a player is not an outfielder, using the complementary event, is:

PO'=P(I)

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Most popular questions from this chapter

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: • 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.

In words, what is C|L?

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).

The following table of data obtained from www.baseball-almanac.com shows hit information for four players. Suppose that one hit from the table is randomly selected.

Are "the hit being made by Hank Aaron" and "the hit being a double" independent events?

a. Yes, because P(hit by Hank Aaron | hit is a double) =P(hit by Hank Aaron)

b. No, because P(hit by Hank Aaron | hit is a double) ≠P(hit is a double)

c. No, because P(hit is by Hank Aaron | hit is a double) ≠P(hit by Hank Aaron)

d. Yes, because P(hit is by Hank Aaron | hit is a double) =P(hit is a double)

In words, explain what it means to pick one person from the study who is “Japanese American OR smokes21to30 cigarettes per day.” Also, find the probability.

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(P).
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