Question

You need to find a store that carries a special printer ink. You know that of the stores that carry printer ink, 10% of them carry the special ink. You randomly call each store until one has the ink you need. What are p and q?

Short answer

The values are:

$p=0.1andq=0.9$

Step-by-step solution

Content Introduction

We are given,

$10\%$of them carry the special ink and we are required to find the a store that carries a special printer ink and a store that does not carries a special printer ink.

Content Explanation

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

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

Now looking at the given experiment, we can say that the probability of finding the special ink is $0.1$and the probability of not finding the special ink is $(1-0.1)=0.9$

Therefore,

$p=0.1$where, p is the probability of finding the special ink, and$q=0.9$ where, q is the probability of not finding the special ink.