Question

Bob is doing a quality test on machine bolts. He tested 24 bolts that he randomly picked and found that 5 were defective Based on Bob's results, what is the expected number of bolts that will be defective if he tests 840 bolts?​

Answer 1

Answer:

Mean of the binomial distribution

μ = 174.972 bolts

Step-by-step explanation:

Step(i):-

Given that Bob tested 24 bolts that he randomly picked and found that 5 were defective

The proportion of the defective item

            $p = \frac{x}{n} = \frac{5}{24} = 0.2083$

Step(ii):-

Let 'x' be a random variable in a binomial distribution

Mean of the binomial distribution

                   μ = np

                  μ = 840 ×0.280

                 μ = 174.972

Final answer:-

Mean of the binomial distribution  μ = 174.972 bolts