1. Let Y represent the number of times a student visits a certain pizza parlor in a one month period.Assume that the following table is the probability distribution of Y:

yp(y)

0.1

1.3

2.4

3.2

a)State the two criteria that prove the table represents a probability distribution.

b)Find the mean ( m) and the standard deviation ( s) of this distribution.

c)Find the probability that a student will visit the pizza parlor at least twice in the next month.

d)Construct a histogram of the probability distribution and locatemon the histogram.

e)Find the probability that a student will visit the pizza parlor no more than 1 time in the next month.