4. (Sec. 4.2) The daily amount of water used (in 100s of gallons) at a particular household is a rv X with pdf J2(1- for 2 3 r-1)2 0 otherwise (a) Compute the cdf of X (b) Obtain an expression for the (100p)th percentile. What is the value of (c) Compute E(X) and V(X) (d) If 275 (2.75 hundred) gallons new water is allocated to that house throughout the day, how much of the 275 gallons is expected to be left at the end of the day? are allocated for this household at the beginning of the day and no

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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I'm lost on question b.

for a I got the cdf was

0 for x < 2

2(x+(1/(x-1))-3) for 2  <= x <= 3

1 for x > 3

4. (Sec. 4.2) The daily amount of water used (in 100s of gallons) at a particular household is a rv X with
pdf
J2(1-
for 2 3
r-1)2
0 otherwise
(a) Compute the cdf of X
(b) Obtain an
expression for the (100p)th percentile. What is the value of
(c) Compute E(X) and V(X)
(d) If 275 (2.75 hundred) gallons
new water is allocated to that house throughout the day, how much of the 275 gallons is expected
to be left at the end of the day?
are allocated for this household at the beginning of the day and no
Transcribed Image Text:4. (Sec. 4.2) The daily amount of water used (in 100s of gallons) at a particular household is a rv X with pdf J2(1- for 2 3 r-1)2 0 otherwise (a) Compute the cdf of X (b) Obtain an expression for the (100p)th percentile. What is the value of (c) Compute E(X) and V(X) (d) If 275 (2.75 hundred) gallons new water is allocated to that house throughout the day, how much of the 275 gallons is expected to be left at the end of the day? are allocated for this household at the beginning of the day and no
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