Answer to Question #44238 in Statistics and Probability for Dion Lewis

Question

4.11... Of 10,000 students at a college, 2,500 have a Mastercard (M), 4,000 have a VISA (V), and 1,000 have both.

a. Find the probability that a randomly selected student

(1) Has a Mastercard.
(2) Has a VISA.
(3) Has both credit cards.

b. Construct and fill in a contingency table summarizing the credit card data. Employ the following pairs of events: M and _M , V and _ . ￣ V￣

c. Use the contingency table to find the probability that a randomly selected student

(1) Has a Mastercard or a VISA.
(2) Has neither credit card.
(3) Has exactly one of the two credit cards.