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Chapter 3: Q. 54 (page 218)

The table shows a random sample of musicians and how they learned to play their instruments.

Find P(musician is a female).

Short Answer

Expert verified

The required solution isP(Musicianisafemale)=0.55384.

Step by step solution

01

Given information

The table shows a random sample of musicians and how they learned to play their instruments :

02

Calculation

There are total 130musicians and out of which 72females and 58males.

So by using formula to calculate probability which is no. of favorable outcomes divided by total no. of outcomes we get :

P(Musician is a female)=No. of female musicianTotalno.of musicianP(Musician is a female)=72130=0.55384

03

Final answer

The probability isP(Musician is a female)=0.55384.

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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: • 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.

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a. What was Renate’s chance of winning a Green Card? Write your answer as a probability statement.

b. In the summer of 1994, Renate received a letter stating she was one of 110,000finalists chosen. Once the finalists were chosen, assuming that each finalist had an equal chance to win, what was Renate’s chance of winning a Green Card? Write your answer as a conditional probability statement. Let F = was a finalist.

c. Are G andF independent or dependent events? Justify your answer numerically and also explain why.

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