SOLUTION: Phone calls arrive at the rate of 54 per hour at a telephone operator desk. a) If no calls are currently being processed, what is the probability that the operator can take 4 mi

Algebra ->  Probability-and-statistics -> SOLUTION: Phone calls arrive at the rate of 54 per hour at a telephone operator desk. a) If no calls are currently being processed, what is the probability that the operator can take 4 mi      Log On


   



Question 1194232: Phone calls arrive at the rate of 54 per hour at a telephone operator desk.
a) If no calls are currently being processed, what is the probability that the operator can take 4 minutes for personal time without being interrupted by a call?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
this is a Poisson distribution and the number is proportional to time.
sho if 54/hour it is 0.9 per minute which is the parameter per minute or 3.6 for four minutes
the probability is e^(-3.6)*3.6^0/0!=0.0273