Question

D Question 2 2 pts A manufacturer produces lengths of fiber optic cable. The manufacturer claims to produce cable with fewer than 2 defect per 1000 feet. You want to examine this claim and purchase 100 feet of the cable and assume that the manufacturer is correct and that there really are only two defects per 1000 feet on average. Let X be the number of defects in the 100 feet of cable that you purchased. The appropriate distribution for X is binomial (n = 1000, p= 2/100). Polsson (1 = 2/1000 - 100 = 0.2) negative binomial (r = 2, p = 2/1000). hyper geometric (m = 2, N - 1000 - 100,= 100)

Answer 1

As the Poisson distribution is used to describe the events when the population is large and the probability of having an event is low but there product is finite.

Similarly here,

The average rate of defect is 2 per 1000 feet.

While we have 100 feet.

But there product is 0.2 which is finite.

So correct answer is option b.