5. Let V denote the volume of water held in a 1-liter bottle. The pdf of V is f(v) = 90v³ (1v) 0 < v<1 (a) Graph the pdf. Then obtain the cdf of V and graph it. (b) What is P(V <.5) [i.e., F(.5)]? (c) Using part (a), what is P(.25 < V<.5)? What is P.(.25

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 1E
Question
5. Let V denote the volume of water held in a 1-liter bottle. The pdf of
V is
f(v) = 90v³ (1v) 0 < v<1
(a) Graph the pdf. Then obtain the cdf of V and graph it.
(b) What is P(V <.5) [i.e., F(.5)]?
(c) Using part (a), what is P(.25 < V<.5)? What is P.(.25 <V≤
.5)?
(d) What is the 75th percentile of the distribution?
Transcribed Image Text:5. Let V denote the volume of water held in a 1-liter bottle. The pdf of V is f(v) = 90v³ (1v) 0 < v<1 (a) Graph the pdf. Then obtain the cdf of V and graph it. (b) What is P(V <.5) [i.e., F(.5)]? (c) Using part (a), what is P(.25 < V<.5)? What is P.(.25 <V≤ .5)? (d) What is the 75th percentile of the distribution?
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