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Suppose three competing airlines each schedule their own flight to Waco which arrives there between 2:00...

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Basic Math

Suppose three competing airlines each schedule their own flightto Waco which arrives there between 2:00 and 3:00 pm according to acontinuous uniform distribution. All three flights are mutuallyindependent.

(a) If Ralph shows up at the airport at 2:00 and decides he willwatch all three arrivals, what is the expected time that heobserves the third and last arrival?

(b) If each airline’s flight only stays on the ground for 10minutes, find or estimate the probability that all 3 airlines willhave a plane on the ground at Waco at some point in the hour from2:00 to 3:00.

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