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Chapter 3: Q. 55 (page 218)

The table 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

The required solution isP(Musicianisamaleandhadprivateinstruction)=0.11538.

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 and also there are 15 male musicians who use private instructions. 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 musicianTotal no. of musicianP(Musician is a male and had private instruction)=15130=0.11538

03

Final answer

The probability isP(Musician is a male and had private instruction)=0.11538.

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Most popular questions from this chapter

Let event A = learning Spanish. Let event B = learning German. Then A AND B = learning Spanish and German.Suppose P(A) = 0.4 and P(B) = 0.2. P(A AND B) = 0.08. Are events A and B independent? Hint: You must show ONE of the following:

鈥� P(A|B) = P(A)

鈥� P(B|A) = P(B)

鈥� P(A AND B) = P(A)P(B)

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a. List the sample space of the 38possible outcomes in roulette.

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Use the following information to answer the next 12exercises. The graph shown is based on more than 1,70,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

What is the probability that an Emotional Health Index Score is less than 80.2given that it is already less than81.
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