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]