SOLUTION: The time spent waiting for a tram at an airport follows a uniform distribution on the interval from 0 to 200 seconds.
A tram passenger is randomly selected and their wait time,
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A tram passenger is randomly selected and their wait time,
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Question 1197270: The time spent waiting for a tram at an airport follows a uniform distribution on the interval from 0 to 200 seconds.
A tram passenger is randomly selected and their wait time, X, is recorded.
Let p denote the probability that X is at least 10 seconds, and let q denote the probability that X is more than 10 seconds.
(a) Calculate p.
(b) Calculate q.
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The time spent waiting for a tram at an airport follows a uniform distribution
on the interval from 0 to 200 seconds.
A tram passenger is randomly selected and their wait time, X, is recorded.
Let p denote the probability that X is at least 10 seconds,
and let q denote the probability that X is more than 10 seconds.
(a) Calculate p.
(b) Calculate q.
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(a) "X is at least 10 seconds" means that X is 10 seconds or more
10 <= X <= 200.
p = P(X is at least 10 seconds) = P(10 <= X <= 200) = = = = 0.95 = 95%. ANSWER
(b) "X is more than 10 seconds" means that
10 < X <= 200.
q = P(X is more than 10 seconds) = P(10 < X <= 200) = = = = 0.95 = 95%. ANSWER
Solved.
The answer is the same for both cases (a) and (b).
