Question

Assume the geometric distribution applies. Use the given probability of success p to find the indicated probability. Find ​P(​5) when p = 0.70.

Answer 1

The value of
`P(5)` when
`p = 0.70` is 0.00567

How to determine the probability?

The given parameter is:

`p = 0.70`

A geometric probability is represented as:

`P(x) = (1 - p)^((x - 1)) * p`

So, we have:

`P(5) = (1 - 0.70)^((5 - 1)) * 0.70`

Evaluate the difference

`P(5) = 0.30^4 * 0.70`

Evaluate the product

`\bold{P(5) = 0.00567}`