Croissant Bakery Inc. offers special decorated cakes for birthdays, weddings and other occasions. It also makes cakes available in tis bakery. The following table gives the number of cakes sold per day over the most recent 120 days.

X (Number of Cakes sold in a day) Frequency

12 35

13 45

14 25

15 15

(a)Construct a probability distribution using the information in the table above.

(b)What is the probability that 14 cakes sill be sold on randomly selected day?

(c)What is the probability that 13 or less cakes will be sold on a randomly selected day?

(d)What is expected value of the number of cakes sold on a randomly selected day?

(e)Compute the standard deviation of the random variable X.