Question

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

The random variables X takes on$x=1,2,3,4,.....,\left(infinity\right)$

Step-by-step solution

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.

Content Explanation

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

$P(X=x)p{q}^{x-1},x=1,2,3,4$

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

$x=1,2,3,4,......,\left(infinty\right)$