Bus A bus must pass through five stations before reaching its destination, and if there are any people at the station, it will have to stop. Given past history, the probability model for the number of stops the bus has to make during its journey is shown below.

X = # of stops 0 1 2 3 4 5 P (X = x) 0.05 0.1 0.1 0.5 0.15 0.1

a) How many stops should be expected on any bus journey?

b) What is the standard deviation?

a) Are the two contracts independent? Explain.

b) Find the probability you get both contracts.

c) Find the probability you get no contract.

d) Let X be the number of contracts you get. Find the probability model for X.

e) Find the expected value and standard deviation.