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Chapter 3: Q. 56 (page 218)

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

Find P(musician is a female OR is self taught).

Short Answer

Expert verified

The required solution is,P(Musician is a female or is self-taught)=0.7.

Step by step solution

01

Given information

The given 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 there are 12female musicians who is self taught.

Now, to calculate the probability, we will use the formula of :P(A∪B)=P(A)+P(B)-P(A∩B).

P(A∪B)=P(A)+P(B)-P(A∩B).=72130+31130-12130=0.7

03

Final answer

The probability isP(Musician is a female or is self-taught)=0.7.

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Most popular questions from this chapter

You have a fair, well-shuffled deck of 52 cards. It consists of four suits. The suits are clubs, diamonds, hearts, and spades. There are 13 cards in each suit consisting of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), and K (king) of that suit. S = spades, H = Hearts, D = Diamonds, C = Clubs. Suppose that you sample four cards without replacement.

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