Chapter 3: Q.56 (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 female OR is self taught).

Short Answer

Expert verified

$P (m u s i c i a n i s a f e m a l e O R i s s e l f t a u g h t) = 0.7$

Step by step solution

Content Introduction

The contingency table shown below:

Content Explanation

It can be seen in the table that total number of musicians is $130$ ,out of these total musicians, $72$ are female musician and $31$ musicians learned music by themselves. Therefore probability of musician is female or is self taught as follow:

$P (m u s i c i a n i s a f e m a l e O R i s s e l f t a u g h t) = P (f e m a l e m u s i c i a n) + P (m u s i c i a n s e l f t a u g h t) - P (m u s i c i a n i s f e m a l e a n d s e l f t a u g h t) P (m u s i c i a n i s a f e m a l e O R i s s e l f t a u g h t) = \frac{72}{130} + \frac{31}{130} - \frac{12}{130} P (m u s i c i a n i s a f e m a l e O R i s s e l f t a u g h t) = 0.7$

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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 female OR is self taught).

Short Answer

Step by step solution

Content Introduction

Content Explanation

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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 female OR is self taught).

Short Answer

Step by step solution

Content Introduction

Content Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Applied Mathematics

Mechanics Maths

Statistics

Geometry

Study anywhere. Anytime. Across all devices.

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 female OR is self taught).