n = 0 PN (n) = {0.3 n = 1,2, 3 O therwise 0.1 Voice calls cost 25 cents each and data calls cost 40 cents each. T cents is the cost of the three telephone calls monitored in the experiment. (a) Express T as a function of N. (b) Find Pr(t) and E[T]. Ans. A) T = 120 – 15N B) P„(t) = 0.3 (t = 15, 90, 105); 0.1 (t = 120); 0 otherwise; E[T] = 93 cents

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Monitor three phone calls and observe whether each one is a voice call or a
data call. The random variable N is the number of voice calls. Assume N has
PMF
n = 0
PN (n) = {0.3 n = 1,2, 3
0 otherwise
0.1
Voice calls cost 25 cents each and data calls cost 40 cents each. T cents is the
cost of the three telephone calls monitored in the experiment.
(a) Express T as a function of N.
(b) Find Pr(t) and E[T].
Ans. A) T = 120 – 15N B) Pr(t) = 0.3 (t = 15,90, 105);
0.1 (t = 120); 0 otherwise; E[T] = 93 cents
Transcribed Image Text:Monitor three phone calls and observe whether each one is a voice call or a data call. The random variable N is the number of voice calls. Assume N has PMF n = 0 PN (n) = {0.3 n = 1,2, 3 0 otherwise 0.1 Voice calls cost 25 cents each and data calls cost 40 cents each. T cents is the cost of the three telephone calls monitored in the experiment. (a) Express T as a function of N. (b) Find Pr(t) and E[T]. Ans. A) T = 120 – 15N B) Pr(t) = 0.3 (t = 15,90, 105); 0.1 (t = 120); 0 otherwise; E[T] = 93 cents
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