Question

A manufacturer of car batteries claims that the life of his batteries has a 15% chance to last more than 3 years. What is the probability that you find a battery that last more than 3 years after verifying a total of 8 batteries?

Answer 1

Ans:

Use Geometric distribution with p=0.15

Let x be the number of trials after we find first success.

So,

P(x=k)=(1-0.15)^k-1*0.15

P(x=8)=(1-0.15)⁷*0.15

P(x=8)=0.0481