4. The traffic density X for the design of a highway is assumed to have a triangular probability density function between 0 and 600 vehicles/hr with the peak at 420 vehicles/hr. Compute the several estimates of the design density as: a. The mode of X b. The mean of X c. The median of X d. The value of the X with the probability of exceedance 10%. e. For each case compute the probabilities that the design capacity will be exceeded.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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At the sub part's questions, I only want the answer of the last one which is : e) For each case compute the probabilities that the design capacity will be exceeded. thanks

 

4. The traffic density X for the design of a highway is assumed to have a triangular
probability density function between 0 and 600 vehicles/hr with the peak at
420 vehicles/hr. Compute the several estimates of the design density as:
a. The mode of X
b. The mean of X
c. The median of X
d. The value of the X with the probability of exceedance 10%.
e. For each case compute the probabilities that the design capacity will be exceeded.
Transcribed Image Text:4. The traffic density X for the design of a highway is assumed to have a triangular probability density function between 0 and 600 vehicles/hr with the peak at 420 vehicles/hr. Compute the several estimates of the design density as: a. The mode of X b. The mean of X c. The median of X d. The value of the X with the probability of exceedance 10%. e. For each case compute the probabilities that the design capacity will be exceeded.
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