The time (in minutes) until the next bus departs a major bus depot follows a uniform...
The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 20 to 41 minutes. Let X denote the time until the next bus departs.
(3%) The distribution is and is .
(3%) The density function for X is given by f(x)=
, with
≤X≤
.
(3%) The mean of the distribution is
μ=
.
(3%) The standard deviation of the distribution is
σ=
.
(3%) The probability that the time until the next bus departs is
between 30 and 40 minutes is
P(30<X<40)=
.
(3%) Ninety percent of the time, the time to the next departure is
less than how many minutes?
That is, P(X≤k)=0.9 for k=
.
Homework Answers
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The time (in minutes) until the next bus departs a major bus
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Problem 8 The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 30 to 48 minutes. Let X denote the time until the next bus departs. a. The distribution is Uniform and is continuous b. The mean of the distribution is u = 39 c. The standard deviation of the distribution is 0 = d. The probability that the time until the next bus departs is between 30 and 40 minutes is...
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Part 3: The Uniform Distribution
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