survey found that 68 ​% 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.

Respuesta :

Answer:

(a) 0.3144

(b) 0.1497

(c) 0.654

(d) [tex]1.125\times 10^{-5}[/tex]

Step-by-step explanation:

It is given that in a survey 68% of callers complain about the service.

So the probability that a caller complaint about the service = 0.68

Therefore probability that caller does not complain for the service = 1-0.68 = 0.32

(a) Probability of next three caller complain about service [tex]=0.68\times 0.68\times 0.68=0.3144[/tex]

(b) Probability that next two caller complain but not third  

[tex]=0.68\times 0.68\times 0.32=0.1497[/tex]

(c) Two out of three calls produce a complaint

[tex]=^3C_20.68^2\times 0.32=0.654[/tex]

(d) None of the 10 calls produce a complaint

[tex]=0.32^{10}=1.125\times 10^{-5}[/tex]

Q&A Education