e. Find the probability that the time will be at most 21 minutes. f. Find the probability that the time will be between 10 and 15 minutes. g. Find the 49th percentile.

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The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/15 where
x goes between 7 and 22 minutes. Round answers to 4 decimal places when possible.
a. This is a Uniform
distribution.
b. It is a Continuous
distribution.
c. The mean of this distribution is 14.5
d. The standard deviation is 4.3301
e. Find the probability that the time will be at most 21 minutes.
f. Find the probability that the time will be between 10 and 15 minutes.
g. Find the 49th percentile.
h. Find the probability that the time is more than 18 minutes given (or knowing that) it is at least
10 minutes.
Transcribed Image Text:The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/15 where x goes between 7 and 22 minutes. Round answers to 4 decimal places when possible. a. This is a Uniform distribution. b. It is a Continuous distribution. c. The mean of this distribution is 14.5 d. The standard deviation is 4.3301 e. Find the probability that the time will be at most 21 minutes. f. Find the probability that the time will be between 10 and 15 minutes. g. Find the 49th percentile. h. Find the probability that the time is more than 18 minutes given (or knowing that) it is at least 10 minutes.
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