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-History Bookmarks windowHelp - mathxl.com MAT 120D Statistics Fall 2017 Sam Giaquinto 12/5/17 8:24 PM Homework: Section 6.1 Homework Save Score: 0 of 1 pt 3 of 10(2 complete) Hw Score: 20%, 2 of 10 pts Question Help * The waiting times between a subway departure schedule and the arival of a passenger are uniformy distributed between 0 and 7 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2 25 minutes (Simplify your answer. Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer Clear All

Explanation / Answer

6.1.5.

UNIFORM DISTRIBUTION
PDF of uniform distribution f(x) = 1 / ( b - a ) for a < x < b
b = maximum Value
a = minimum Value
f(x) = 1/(b-a) = 1 / (7-0) = 1 / 7 = 0.1429
I.
mean = a + b / 2
=(0+7)/2
=3.5
II.
standard deviation = sqrt ( ( b - a ) ^ 2 / 12 )
=sqrt(7-0)^2 / 12
=2.021

probability that a random selected passenger has a waiting time greater than 2.25 minutes
P(X > 2.25) = (7-2.25) * f(x)
= 4.75*0.1429
= 0.679

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