SOLUTION: Suppose that the time, X, that a tourist must wait to board a trolley car in San Francisco is a uniformly distributed random variable over the interval from 0 minutes to 10 minute
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Question 132638: Suppose that the time, X, that a tourist must wait to board a trolley car in San Francisco is a uniformly distributed random variable over the interval from 0 minutes to 10 minutes.
a.What is the probability that the tourist’s wait-time is exactly 0 minutes?
b.What is the probability that a tourist must wait longer than 8 minutes to board the trolley car?
c.What is the expected wait-time for a tourist?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose that the time, X, that a tourist must wait to board a trolley car in San Francisco is a uniformly distributed random variable over the interval from 0 minutes to 10 minutes.
a.What is the probability that the tourist’s wait-time is exactly 0 minutes?
P(X=0) = 1/10
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b.What is the probability that a tourist must wait longer than 8 minutes to board the trolley car?
P(X = 9 or 10) = 2/10 = 1/5
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c.What is the expected wait-time for a tourist?
E(X) = (1/10)(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)
E(x) = (1/10)[(10/2)(11) = 5.5
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Cheers,
Stan H.
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