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A survey of benefits for 254 corporate executives (Business Week, October 24, 1994) showed that 155 executives were provided mobile phones, 152 were provided club memberships, and 110 were provided both mobile phones and club memberships as perks associated with their position.
(a) Let M be the event of having a mobile phone and C be the event of having a club membership. Find the following probabilities: P(M ), P(C), and P(M ∩ C).
(b) Use the probabilities in part (a) to compute the probability that a corporate executive has at least one of the two perks.
(c) What is the probability that a corporate executive does not have either of these perks.
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