Mathematics: 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.

No don’t stab yourself! But I really hope someone helps you with this, I would but I just don’t understand sorry...

Survey found that 68 % of callers complain about

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26.01.2022

(a) 0.3144

(b) 0.1497

(d) $1.125\times 10^{-5}$

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 $=0.68\times 0.68\times 0.68=0.3144$

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

$=0.68\times 0.68\times 0.32=0.1497$

$=^3C_20.68^2\times 0.32=0.654$

(d) None of the 10 calls produce a complaint

$=0.32^{10}=1.125\times 10^{-5}$

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