The city of Kingston, Ontario, has approximately 3700 parking spaces. Metered parking is available on some streets and in certain parking garages, and the maximum length of stay at a metered spot is between one and three hours.4 The probability density function for the length of time a car is parked (in hours) at a metered spot in a certain lot is given below. Suppose a car parked at a metered spot in this lot is selected at random.
a. What is the probability that the car is parked for less than 2 hours?
b. What is the probability that the car is parked for less than 1.4 hours?
c. What is the probability that the car is parked for more than 2.6 hours?
d. What is the probability that the car is parked for between 1.4 and 2.6 hours?
Marini’s candy store on the beach boardwalk in Santa Cruz sells candy in bulk. Customers can mix products from over 100 barrels. The probability distribution for the number of pounds of candy purchased by a randomly selected customer is shown below.
a. Verify that this is a valid probability density function.
b. Find the probability that the next customer buys at most 2 pounds of candy.
c. Find the probability that the next customer buys more than 1 pound of candy.
d. Suppose the next customer buys at most 1.5 pounds of candy. What is the probability that she buys at most 0.5 pound of candy?