17 The continuous random variable X has probability density function 1+x , 1sx<3 6 f(x) = 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.

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Q: b. Let X be a continuous random variable with probability density function for 0 <x < 1 for 1 <x< 3…

A: Givenf(x)=a     for 0≤x≤1b    for 1≤x≤30    otherwise

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Q: b. Let X be a continuous random variable with following probability density function as f(x) = 6x(1–…

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A: Explanation of the answer is as follows

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A: Solution: From the given information, the cumulative distribution of X is

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A: The pdf of X is fx=3x2,0≤x≤1 EX=∫01x*fxdx=∫01x*3x2dx=3∫01x3dx=3 x4401=3144-0=34=0.75

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Q: 16 A continuous random variable X has cumulative distribution function , xs0 3 F(x) = 40 +x ,0<x< 4…

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