1.2. Assume that Billy's driving time to class is uniformly distributed from 15-20 minutes in good weather, and uniformly distributed from 25-30 minutes in bad weather. Let the RV X describe Billy's drive time. If the probability of good weather is 2/3. a) .describe mathematically the PDF of X. b) .describe graphically the PDF of X. c) .find the probability that Billy's drive time is >18 minutes. d) .find the Expected Value of Billy's drive time, irrespective of the weather.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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1.2. Assume that Billy's driving time to class is uniformly distributed from 15-20 minutes in good
weather, and uniformly distributed from 25-30 minutes in bad weather. Let the RV X describe
Billy's drive time. If the probability of good weather is 2/3.
a) .describe mathematically the PDF of X.
b) ..describe graphically the PDF of X.
c) .find the probability that Billy's drive time is >18 minutes.
d) .find the Expected Value of Billy's drive time, irrespective of the weather.
Transcribed Image Text:1.2. Assume that Billy's driving time to class is uniformly distributed from 15-20 minutes in good weather, and uniformly distributed from 25-30 minutes in bad weather. Let the RV X describe Billy's drive time. If the probability of good weather is 2/3. a) .describe mathematically the PDF of X. b) ..describe graphically the PDF of X. c) .find the probability that Billy's drive time is >18 minutes. d) .find the Expected Value of Billy's drive time, irrespective of the weather.
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