If Y has a geometric distribution with success probability p, show that P(Y = an odd

Problem 3.77

If Y has a geometric distribution with success probability p, show that P(Y = an odd integer ) =  .

                                                               Step by step solution

Step 1 of 2

Given:

Let Y be a random variable.

In the given scenario, the random variable Y follows geometric distribution.

The probability mass function of the geometric distribution is given as:

Where,

 represents the probability of success.

represents the probability of failure.