Question

A survey found that 62​% of callers complain about the service they receive from a call center. State the assumptions and determine the probability of each event described below.

​(a) The next three consecutive callers complain about the service.

​(b) The next two callers​ complain, but not the third.

​(c) Two out of the next three calls produce a complaint.

​(d) None of the next 10 calls produces a complaint.

The probability that the next three callers complain is about?

Answer 1

Answer:

Given that:

A survey found that 62​% of callers complain about the service they receive from a call center.

we are assuming that probability of a caller to complain is independent from trail to trail

​(a) The next three consecutive callers complain about the service.

P(next three consecutive callers complain)=0.62*0.62*0.62

P(next three consecutive callers complain) = 0.238328

​(b) The next two callers​ complain, but not the third.

P(next 2 complains but not the third)=0.62*0.62*0.38

P(next 2 complains but not the third) = 0.146072

(c) Two out of the next three calls produce a complaint.

P(2 out of 3 complains) =³C₂

P(2 out of 3 complains) =

P(2 out of 3 complains) =

​(d) None of the next 10 calls produces a complaint.

P(none of next 10 complains)

P(none of next 10 complains) = 0.0000627821