Croissant Bakery Inc. offers special decorated cakes for birthdays, weddings, and other occasions. It also has regular cakes available in its bakery. The following table gives the total number of cakes sold per day and the corresponding probability. Compute the mean, variance, and standard deviation of the number of cakes sold per day.

Number of Cakes Sold in a Day................................................... Probability
12........................................................................................................ .25
13........................................................................................................ .40
14........................................................................................................ .25
15........................................................................................................ .10