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A market analyst is hired to provide information on the type of customers who shop at a particular store. A random survey is taken of 100 shoppers at this store. Of these 100, 73 are women. The shoppers are grouped in three age categories, under 30, 30 up to 50 and 50 and over. The data is summarized in the table.
Women Men Total
Under 30 30 8 38
30 to 50 25 14 39
50 & over 18 5 23
Totals 73 27 100
Let W be the event that a randomly selected shopper is a woman.
Let A be the event that a randomly selected shopper is under 30.
a. Find the probability of W.:::27/100
b. Find the probability of A.:::38/100
c. Find the probability of A and W.:::30/100
d. Find the probability of A or W. (38+73-30)/100 = 81/100
e. Find the probability of A given W.:::30/73