Let x be the amount of time (in minutes) that a particular San Francisco commuter must wait for a train. Suppose that the density curve is as pictured below (a uniform distribution). Density 0.05 0. 20 Time (minutes) (a) What is the probability that x is less than 7 min? .35 What is the probability that x is more than 13 min? (b) What is the probability that x is between 5 and 9 min? (c) Find the value c (in minutes) for which P(x < c) = 0.7.

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Let x be the amount of time (in minutes) that a particular San Francisco commuter must wait for a train. Suppose that the
density curve is as pictured below (a uniform distribution).
Density
0.05
0.
20
Time (minutes)
(a) What is the probability that x is less than 7 min?
.35
What is the probability that x is more than 13 min?
(b) What is the probability that x is between 5 and 9 min?
(c) Find the value c (in minutes) for which P(x < c) = 0.7.
C = 14
min
Transcribed Image Text:Let x be the amount of time (in minutes) that a particular San Francisco commuter must wait for a train. Suppose that the density curve is as pictured below (a uniform distribution). Density 0.05 0. 20 Time (minutes) (a) What is the probability that x is less than 7 min? .35 What is the probability that x is more than 13 min? (b) What is the probability that x is between 5 and 9 min? (c) Find the value c (in minutes) for which P(x < c) = 0.7. C = 14 min
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