There is about a 75% probability that a truck will be going over the speed limit on I-80 between Cheyenne and Rock Springs, Wyoming. Suppose that a random sample of 5 trucks on this stretch of I-80 is observed.
a) Find and interpret the expected number of trucks that are speeding.
b) Find the standard deviation for the number of trucks that are speeding.
c) A person watches 5 trucks go by. Use the mean and standard deviation to determine if it is unusual for none of the trucks to be speeding. Show your work.
The probability of getting a ticket when you don't pay the parking meter is 0.3. What is the probability of getting at least one parking ticket in five occasions when you do not pay the parking meter?