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# An urn contains 7 red and 11 white balls. Draw one ball at

ISBN: 9780321923271 41

## Solution for problem 1E Chapter 2.4

Probability and Statistical Inference | 9th Edition

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Problem 1E

Problem 1E

An urn contains 7 red and 11 white balls. Draw one ball at random from the urn. Let X = 1 if a red ball is drawn, and let X = 0 if a white ball is drawn. Give the pmf, mean, and variance of X.

Step-by-Step Solution:

Answer:

Step 1 of 2:

Given that, an urn contains 7 red and 11 white balls.

Total balls (R+W)  = 7 + 11

= 18.

Let  X =1 if a red ball is drawn.

That is, P(X =1) =

Let X = 0 if a white ball is drawn.

That is, P(X = 0) =

Step 2 of 2

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An urn contains 7 red and 11 white balls. Draw one ball at