# To generate a phone bill, observe the duration of the

To generate a phone bill, observe the duration of the call in integer minutes (rounding up). Charge for m = 1,2,3, ... minutes if the exact
duration i is m – 1 _t_m.
Let Bm denote the event that a call is billed for m minutes. The probability of each event Bm is
a = 1- (0.69)13 x 0.116.
P[Bm) = a(1 – a)"-
where
(a) Classify a call as long (L) if the call lasts more than three minutes, then
(b) What is the probability that a call will be billed for nine minutes or less?
Hint: The probabilities P[

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