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Chapter 3: Q.55 (page 218)

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

Find P(musician is a male AND had private instruction).

Short Answer

Expert verified

P(musicianisamaleANDhadprivateinstruction)=0.12

Step by step solution

01

Content Introduction

The contingency table shown is below:

02

Content Explanation

It can be seen in the table that total number of musicians is 130,out of these total musicians, 15are male musician who learned music with private instruction. Therefore probability of male musician and a private instructor is as follow:

P(musicianisamaleANDhadprivateinstruction)=TotalmalemusicianswithprivateinstructiontotalmusiciansP(musicianisamaleANDhadprivateinstruction)=15130P(musicianisamaleANDhadprivateinstruction)=0.12

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Most popular questions from this chapter

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)

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)

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 L OR C?

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).

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?
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