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x if 0 < x ≤ 45 if 45 < x ≤ 60 1350 f(x)=60-x 450 0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 45E

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Question

DHL usually gives its customer a 60-minute window in which it expects home deliveries to be delivered. An independent consultant estimates that the final delivery time within the window is a delivery that follows the following condensation function:

a. Draw the density function of the event.

b. What is the expected value of the transaction?

c. What is the variance of the event?

Χ
if 0 < x ≤ 45
1350
f(x) =
60-x
if 45 < x ≤ 60
450
0

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Step 1: State the given information.

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Step 2: Draw the density function of the event.

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Step 3: Calculate the expected value of X

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Step 4: Calculate the variance of X

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