. Suppose the distance traveled in an ride-share trip in a certain area can be modeled by a random variable that has the probability density function f(x) = 1/5 for 5

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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5. Suppose the distance traveled in an ride-share trip in a certain area can be modeled by a random
variable that has the probability density function f(x) = 1/5 for 5 < x < 10. For the same area, the
dynamic pricing algorithm of the ride-share app charges X? – 10 dollars when X miles are traveled.
(a) What is the expected distance traveled in a ride?
(b) What is the expected cost of a ride?
(c) What is the probability that a ride costs less than 50 dollars?
Transcribed Image Text:5. Suppose the distance traveled in an ride-share trip in a certain area can be modeled by a random variable that has the probability density function f(x) = 1/5 for 5 < x < 10. For the same area, the dynamic pricing algorithm of the ride-share app charges X? – 10 dollars when X miles are traveled. (a) What is the expected distance traveled in a ride? (b) What is the expected cost of a ride? (c) What is the probability that a ride costs less than 50 dollars?
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