Question

Assume the geometric distribution applies. Use the given probability of success p to find the indicated probability.

Find

​P(6)

when

p=0.80

Answer 1

SOLUTION:

From given data,

Assume the geometric distribution applies. Use the given probability of success p to find the indicated probability.Find  ​P(6)  when p=0.80

Where,

p=0.80

​P(6) that is x=6

We know that,

The pmf of geometric distribution is

​P(X = x) = p * (1-p)^(x-1)

P(6) = ​P(X = 6) = 0.80 * (1-0.80)^(6-1)

P(X = 6) = 0.80 * (1-0.80)⁵

P(X = 6) = 0.80 * (0.2)⁵

P(X = 6) = 0.80 * 0.00032

P(X = 6) = P(6) = 0.000256