Question

Isaac, a manager at a supermarket, is inspecting cans of pasta to make sure that the cans are neither dented nor have other defects. From past experience, he knows that 1 can in every 90 is defective. What is the probability that Isaac will find his first defective can among the first 50 cans

Answer 1

0.0064 is the probability that Isaac will find his first defective can among the first 50 cans.

Explanation:

W are given the following in the question:

Probability of defective can =

`P(A) = (1)/(90)`

We have to find the probability that Isaac will find his first defective can among the first 50 cans.

Then the number of adults follows a geometric distribution, where the probability of success on each trial is p, then the probability that the kth trial (out of k trials) is the first success is

`P(X=k) = (1-p)^(k-1)p`

We have to evaluate:

`P(x = 50)\\= (1-(1)/(90))^(50-1)((1)/(90))\\= 0.0064`

0.0064 is the probability that Isaac will find his first defective can among the first 50 cans.