A dolphin show is scheduled to start at 9:00 A.M., 9:30 A.M., and 10:00 A.M. Once the show starts, the gate will be closed. A visitor will arrive at the gate at a time uniformly distributed between 8:30 A.M. and 10:00 A.M. Determine a) The cumulative distribution function of the time (in minutes) between 8:30 A.M. and arrival. F(x) = || ? Edit for 0 < x < 90 b) The mean and variance of the distribution. Мean %3 minutes Variance = minutes? c) The probability that a visitor waits less than 16 minutes for a show. i

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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A dolphin show is scheduled to start at 9:00 A.M., 9:30 A.M., and 10:00 A.M. Once the show starts, the gate will be closed. A visitor
will arrive at the gate at a time uniformly distributed between 8:30 A.M. and 10:00 A.M. Determine
a) The cumulative distribution function of the time (in minutes) between 8:30 A.M. and arrival.
F(x) = || ?
Edit
for 0 < x < 90
b) The mean and variance of the distribution.
Мean %3
minutes
Variance =
minutes?
c) The probability that a visitor waits less than 16 minutes for a show.
i
Transcribed Image Text:A dolphin show is scheduled to start at 9:00 A.M., 9:30 A.M., and 10:00 A.M. Once the show starts, the gate will be closed. A visitor will arrive at the gate at a time uniformly distributed between 8:30 A.M. and 10:00 A.M. Determine a) The cumulative distribution function of the time (in minutes) between 8:30 A.M. and arrival. F(x) = || ? Edit for 0 < x < 90 b) The mean and variance of the distribution. Мean %3 minutes Variance = minutes? c) The probability that a visitor waits less than 16 minutes for a show. i
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