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Question

A manufacturing machine has a 6% defect rate. An inspector chooses 4 items at random. Use the binomial distribution. Round answers to 4 decimal places.

a) What is the probability that at least one will have a defect? Correct

b) What is the probability that exactly two will have a defect? 

c) What is the probability that less than two will have a defect? 

d) What is the probability that more than one will have a defect?

Answer 1

Binomial with:

p = 0.06 (having a defect is counted as "success")

n = 4 trials

The rest is using binomial calculator:

(a) P(x >=1)

(b) P(x = 2)

(c) P(x < 2)

(d) P(x>1)