Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is (0 x<0 F(x) = a. Calculate P(X ≤ 1). b. Calculate P(.5 ≤ x ≤ 1). c. Calculate P(X> 1.5). 0≤x≤2 2≤x

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is (0 x<0 F(x) = a. Calculate P(X ≤ 1). b. Calculate P(.5 ≤ x ≤ 1). c. Calculate P(X> 1.5). 0≤x≤2 2≤x

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 44E

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Question

g. Calculate V(X) and σx.
h. If the borrower is charged an amount h(X)=X²
when checkout duration is X, compute the expected
charge E[h(X)].

Let X denote the amount of time a book on two-hour
reserve is actually checked out, and suppose the cdf is
(0
x<0
F(x) =
0≤x<2
2≤x
a. Calculate P(X ≤ 1).
b. Calculate P(.5 ≤ x ≤ 1).
c. Calculate P(X>1.5).
d. What is the median checkout duration ? [solve
.5 = F(μ)].
e. Obtain the density function f(x).
f. Calculate E(X).

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