probability queston

[neb7878]

Suppose the waiting time in a doctor's office is exponentially distributed with a mean of 20 and the time spent with the doctor is exponentially distributed with a mean of 10. Find the probability that max(t1 + t2)<30, that is, the probability that the maximum time spent is less than the sum of the means.

[vhawk01]

See if those in the "Probability" forum want to do your homework for you.

[neb7878]

It's actually not a h.w. problem. I am studying for an actuary exam, but I will ask them anyway. Thanks.

btw: the waiting times are independent (you might need this info)