Thread: Probability question!

Hey guys,

Urgent help needed!

A computerized switch board in the telephone exchange receives an average 4 calls per minute. Find the probability that –

(a) the interval of time between successive calls at any time is less than 10 seconds.

(b) at least 5 calls are received in one minute.

Thanks a million!

Originally Posted by mathask

Hey guys,

Urgent help needed!

A computerized switch board in the telephone exchange receives an average 4 calls per minute. Find the probability that –

(a) the interval of time between successive calls at any time is less than 10 seconds.

(b) at least 5 calls are received in one minute.

Thanks a million!

a) It sounds like an exponential distribution with mean (minutes/calls). So, the probability the interval of time between calls is less that 10 seconds (or equivalently, 1/6 of a minute) is

.

b) Now, instead of the time between events we are interested in the number of events in a given time interval. So, your random variable Y is poisson with mean . So, the probability is

.