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

Answer:

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

Step-by-step explanation:

W are given the following in the question:

Probability of defective can =

$P(A) = \dfrac{1}{90}$

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:

$P(x = 50)\\= (1-\frac{1}{90})^{50-1}(\frac{1}{90})\\= 0.0064$

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