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Question # 885

Question # 885. Global Airlines operates two types of jet planes: jumbo and ordinary. On jumbo jets, 25% of the passengers are on business, while on ordinary jets 30% of the passengers are on business. Of Global's air fleet, 40% of its capacity is provided on jumbo jets. (Hint: You have been given two conditional probabilities.)
a. What is the probability a randomly chosen business customer flying with Global is on a jumbo jet?
b. What is the probability a randomly chosen non-business customer flying with Global is on an ordinary jet?

Solution # 885

Question #776.

Question #776. On average, a certain kind of kitchen appliance requires repairs once every four years. Assume that the times between repairs are exponentially distributed.
a.  What is the probability that the appliance will work no more than three years without requiring repairs?
b.  What is the probability that the appliance will work at least six years without requiring repairs?

Solution #776.

Question #694

Question #694. A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 60% chance of hiring at least two candidates. There is only a 5% chance that it will not make any hires and a 10% chance that it will make all three hires.
a. What is the probability that the firm will make at least one hire?
b. Find the expected value and the standard deviation of the number of hires.

Solution #694