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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:
y p(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 locate m on the histogram.
e) Find the probability that a student will visit the pizza parlor no more than 1 time in the next month.
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