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Chapter 4: Q. 4.17 (page 260)

You throw darts at a board until you hit the center area. Your probability of hitting the center area is p = 0.17. You want to find the probability that it takes eight throws until you hit the center. What values does X take on?

Short Answer

Expert verified

The random variables X takes onx=1,2,3,4,.....,(infinity)

Step by step solution

01

Content Introduction

You throw darts on the board until you hit the center area. your probability of hitting the center area is p=0.17

In statistics, the geometric distribution is one of the discrete probability distribution. In a Bernoulli trial, the probability of the number of successive failures before a success is obtained is represented by a geometric distribution, which is a sort of discrete probability distribution.

02

Content Explanation

A random variable is said to have geometric distribution if the probability mass function is:

P(X=x)pqx-1,x=1,2,3,4

We clearly see the random variable X denotes the number of throws required until you hit the center takes the following values:

x=1,2,3,4,......,(infinty)

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