Question

in a public telephone booth the arrivals are on an average of 15 per hour.A call on the average takes 15 minutes. If there is just one phone,find (i)expected number of callers in the booth at any time (ii)the proportion of the time the booth is expected to be idle?​

Answer 1

Answer:

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Answer 2

Answer:

(I) 3

(ii) 1\4

lambda=15per hour or the arrival time

п=3mins or the service time

3mins -------- 1 call

∴60mins------- 20call

so,ъ=lambda\п=15\20=3\4

i)numbers of callers = no of people in service line=ъ\1-ъ

                                                                                 =3

ii)ideal time = 1-ъ=1\4