The amount of time a person must wait for a train to arrive in a certain town is uniformly distributed between 0 and 40 minutes. Determine the probability density function f(x). Draw a graft of f(x) What is the probability that person must wait less than 8 minutes?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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The amount of time a person must wait for a train to arrive in a certain town is uniformly distributed between 0 and 40 minutes.

  1. Determine the probability density function f(x).
  2. Draw a graft of f(x)
  3. What is the probability that person must wait less than 8 minutes?
  4. What is the probability that person must wait more then 30 minutes?
  5. Calculate P(10<x<26), P(x=20) and P(x> 45).
  6. f) Calculate the mean and standard deviations.
  7. What is the 85th percentile.
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