## The probability that a machine part is defective is 0.1. Find the probability that no more than 2 out of 12 parts tested are defective.

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

## Answers ( )

Answer:Probability that no more than 2 out of 12 parts tested are defective is 0.8891.Step-by-step explanation:We are given that the probability that a machine part is defective is 0.1.

Twelve parts are selected at random.

The above situation can be represented through binomial distribution;where, n = number trials (samples) taken = 12 parts

r = number of success = no more than 2

p = probability of success which in our question is probability that

a machine part is defective, i.e; p = 0.1

Let X = Number of machine parts that are defectiveSo, X ~ Binom(n = 12, p = 0.1)Now, Probability that no more than 2 out of 12 parts tested are defective is given by = P(X2)P(X2) = P(X = 0) + P(X = 1) + P(X = 2)

=

=

= 0.8891

Therefore, probability that no more than 2 out of 12 parts tested are defective is

0.8891.