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Global Airlines operates two types ofjet planesumbo and ordinary. On Jumbojets,

ID: 3041856 • Letter: G

Question

Global Airlines operates two types ofjet planesumbo and ordinary. On Jumbojets, 25% ofthe 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: The 25% and 30% values are condit ona probabilities stated as percentages.) 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? Safety Insurance Company has compiled the following statistics. For any one year period: P(accident | male driver under 25) 22 P(accident | male driver over 25)15 P(accident | female driver under 2516 P(accident | female driver over 25) .14 w hare the probability that a randomly selected policyholder will have an accident within the next The percentage of Safety's policyholders in each category are: Hint-start with a joint probability table))mus 16 PCB) Male Under 25 Male Over 25 Female Under 25 Female Over 25 20% 40% 10% 30%

Explanation / Answer

Answer to the question is as follows:

a.

P(business customer glying with Global' on a jumbo jet)

= (.25*.40)/(.25*.40+.30*.60)

= .357

b. P( non-business customer flying with Global is on an ordinary jet)

= (.40*.70)/(.60*.75+.40*.70)

= .384

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