Mixed poisson/exponential (draw pictures where appropriate and show formulas with numbers plugged in as well as answers.) customers arrive at the drive-up window of a fast-food restaurant at a rate of 2 per minute during the lunch hour (noon-1pm). a. what is the probability that exactly 3 customers will arrive in 1 minute? b. what is the probability that at least 1 customer will arrive in 5 minutes? c. what is the probability that no customers will arrive in 2 minutes? d. given a customer has just arrived, what is the probability that the next customer will arrive within 1 minute? e. given a customer has just arrived, what is the probability that the next customer will arrive within 2 minutes? f. given a customer has just arrived, what is the probability the next customer will not arrive within the next 2 minutes?