Geometric and Poisson Distributions

Paul expected to receive 4 emails in a week.Find the probability of receiving 6 emails for the next 2 weeks?

The number of cars randomly arriving at a car wash during a 20-minute interval.

If electricity power failures occur with an average of 3 failures every twenty weeks, calculate the probability that there will not be more than one failure during a particular week.

If Mobius draws 7 cards out of a deck with replacement, what is the probability that he gets the first heart in 6 attempts or fewer?

In a given week, the probability that a certain company experiences a network failure is 10%. Which distribution can be use to find out the probability that the company will experience 5 weeks without a network failure?

A new surgical procedure is successful 85% of the time. the procedure is performed 8 times and it can be assumed that it is independent each time. Find the expected value of the successful operations.

If X~Po(1.8), find P(2≤X≤4)

Salmi expected to receive 4 emails in a week. Find the probability of receiving 8 emails for the next 2 weeks.

If X~Po(λ) and P(X=0) = 0.0025, find λ.

If you want to know how many trials you will need before your first success, use the ???? model.