The distribution of the amount of gravel (in tons) sold by a particular branch of a construction supply company located in Columbus in a given week is a continuous random variable X with cumulative distribution function: x< 0 3 F(x) = 2 %3D 3 1 x>1 (a) Find the probability density function of X. In other words, what is f(x)? (b) Find the mean of X. (c) Find P(X> 0.75).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
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The distribution of the amount of gravel (in tons) sold by a
particular branch of a construction supply company located in Columbus in a
given week is a continuous random variable X with cumulative distribution
function:
0.
x<0
3
F(x) =
2
%3D
0<x<1
3
1
x> 1
(a) Find the probability density function of X. In other words, what is f(x)?
(b) Find the mean of X.
(c) Find P(X > 0.75).
Transcribed Image Text:The distribution of the amount of gravel (in tons) sold by a particular branch of a construction supply company located in Columbus in a given week is a continuous random variable X with cumulative distribution function: 0. x<0 3 F(x) = 2 %3D 0<x<1 3 1 x> 1 (a) Find the probability density function of X. In other words, what is f(x)? (b) Find the mean of X. (c) Find P(X > 0.75).
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