(a) What is the probability that x is less than 11 min? What is the probability that x is more than 17 min? (b) What is the probability that x is between 8 and 14 min? (c) Find the value c (in minutes) for which P(x < c) = 0.7. C= min

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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
Time (minutes)
(a) What is the probability that x is less than 11 min?
What is the probability that x is more than 17 min?
I
20
(b) What is the probability that x is between 8 and 14 min?
(c) Find the value c (in minutes) for which P(x < c) = 0.7.
C =
min
X
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 Time (minutes) (a) What is the probability that x is less than 11 min? What is the probability that x is more than 17 min? I 20 (b) What is the probability that x is between 8 and 14 min? (c) Find the value c (in minutes) for which P(x < c) = 0.7. C = min X
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