Question

A purchaser of electric relays buys from two suppliers, A and B. Supplier A supplies two of every three relays used by the company. If 60 relays are selected at random from those in use by the company, find the probability that at most 39 of these relays come from supplier A. Assume that the company uses a large number of relays. (Use the normal approximation. Round your answer to four decimal places.)

Answer 1

Answer: Our required probability is 0.3162.

Step-by-step explanation:

Since we have given that

n = 60

Probability of success = $\dfrac{2}{3}$

Probability that at most 39 of these relays come from supplier A would be

$P(X\leq 39)=binomcdf(60,\dfrac{2}{3},39)=0.3162$

Hence, our required probability is 0.3162.