17 The continuous random variable X has probability density function 1+x , Isxs3 6 f(x) = 0 , otherwise. a. Sketch the probability density function of X. b. Calculate the mean of X. c. Find the cumulative distribution function, F(x) and sketch its graph. d. Find m such that P(X sm)=;. (sm):

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Q17
17 The continuous random variable X has probability density function
1+x
1sx<3
6
f(x) =
0 , otherwise.
a. Sketch the probability density function of X .
b. Calculate the mean of X.
c. Find the cumulative distribution function, F(x) and sketch its graph.
d. Find m such that P(X s m) =;.
Transcribed Image Text:17 The continuous random variable X has probability density function 1+x 1sx<3 6 f(x) = 0 , otherwise. a. Sketch the probability density function of X . b. Calculate the mean of X. c. Find the cumulative distribution function, F(x) and sketch its graph. d. Find m such that P(X s m) =;.
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