Answer:
Step-by-step explanation:
Let x be a random variable representing the products are rejected
because they contain some technical
problems. This is a binomial distribution since the outcomes are two ways. It is either they are rejected or accepted. The probability of success(that they would be rejected), p = 0.2
The probability of failure, q would be 1 - p = 1 - 0.2 = 0.8
n = 11
a) We want to determine P(x < 3)
From the binomial distribution table,
P(x < 3) = 0.62
b) We want to determine P(x ≥ 3)
From the binomial distribution table,
P(x ≥ 3) = 0.38
c) The number of rejects that the sample is expected to contain is the mean.
mean = np
mean = 11 × 0.2 = 2.2
Approximately 2 rejects
