have problems at f g and h
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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have problems at f g and h
![Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following.
x < 0
0 < x < 5
0
-1/
x²
25
F(x) =
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X ≤ 2).
0.16
(b) Calculate P(1.5 ≤ x ≤ 2).
0.07
(c) Calculate P(X> 2.5).
0.75
5 ≤X
(d) What is the median checkout duration ? [solve 0.5 = F(P)].
3.5355
(e) Obtain the density function f(x).
f(x) = f'(x)
2x
25
(f) Calculate E(X).
(g) Calculate V(X) and ox
V(X)
0≤x < 5
otherwise
(h) If the borrower is charged an amount h(x) = x² when checkout duration is X, compute the expected charge E[h(X)].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb989860-4d1c-4fb5-9e6b-42a4528dce9c%2Fbf903781-7d46-4448-9c20-a939aa75b156%2F9iqn7pi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following.
x < 0
0 < x < 5
0
-1/
x²
25
F(x) =
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X ≤ 2).
0.16
(b) Calculate P(1.5 ≤ x ≤ 2).
0.07
(c) Calculate P(X> 2.5).
0.75
5 ≤X
(d) What is the median checkout duration ? [solve 0.5 = F(P)].
3.5355
(e) Obtain the density function f(x).
f(x) = f'(x)
2x
25
(f) Calculate E(X).
(g) Calculate V(X) and ox
V(X)
0≤x < 5
otherwise
(h) If the borrower is charged an amount h(x) = x² when checkout duration is X, compute the expected charge E[h(X)].
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