Let there be 10 white balls and 12 black balls in a bag. Let four balls be selected from this bag on condition that they are not replaced. Which of the following is the probability that the X random variable will take the value zero to represent the number of black balls as a result of testing the X random variable? a) 0.015 B) 0.02 NS) 0.30 D) 0.20 TO) 0.15

Let there be 10 white balls and 12 black balls in a bag. Let four balls be selected from this bag on condition that they are not replaced. Which of the following is the probability that the X random variable will take the value zero to represent the number of black balls as a result of testing the X random variable? a) 0.015 B) 0.02 NS) 0.30 D) 0.20 TO) 0.15

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let there be 10 white balls and 12 black balls in a bag. Let four balls be selected from this bag on condition that they are not replaced. Which of the following is the probability that the X random variable will take the value zero to represent the number of black balls as a result of testing the X random variable?

0.015

0.02

NS)

0.30

0.20

TO)

0.15

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Hypergeometric Distribution: Suppose there is a finite population of size N that contains exactly K objects that has a specified feature. A random sample of size n has been drawn from this population without replacement, wherein each draw is either a success or a failure. Then the probability distribution of the number of objects in the sample with that feature, called success, is said to follow Hypergeometric distribution.

Let us assume X be a random variable denoting the number of success.

Then $X ~ Hypergeometric (N, K, n)$ , N, K and n being the parameters of the hypergeometric distribution.

The probability mass function of X is given by,

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