Question

Prob-3 A company makes electric motors. The probability an electric motor is defective is 5% . What is the probability that a sample of 100 electric motors will contain no defective motor

Answer 1

7.88 * 10^-31

Explanation:

Given that :

Probability of being defective p = 0.5

probability that a sample of 100 electric motors will contain no defective motor

n = 100

P(x = 0)

Using the binomial probability function :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 0) = 100C0 * 0.5^0 * (1 - 0.5)^(100-0)

P(x = 0) = 100C0 * 0.5^0 * 0.5^100

P(x = 0) = 1 * 1 * 7.88*10^-31

P(x = 0) = 7.88 * 10^-31