A continuous random variable X has probability density function f(x) = { (5-x) for 0≤x≤ 2 otherwise. Calculate the median value of X. Give your answer to three decimal places.

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A: Given that Pdf of is  f(x)= 20000/(x+100)3 , x>0

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A: From the given graph probability density function is.

Q: Let X be a continuous random variable with PDF 2x fx\=) = { otherwise Find the expected value of X.

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Q: continuous random Variable X has probability Density function defined by f(x) = 5-5x;  0

A: Given: f(x) = 5-5x

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Q: A continuous random variable X has the probability density function  f(x) = (4-x)/8, 0 ≤ x ≤ 4. Find…

A: The probability density function for a continuous random variable X is, fx=4-x8,     0≤x≤4

Q: 7) For the continuous probability distribution f(x) = kx³e-* Where x 20, find mean.

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A: The variance of X+Y is calculated asVarX+Y=VarX+VarY-2CovX,Y

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A: Hi! Thank you for the question. As per the honor code, we are allowed to answer 1 question at a…

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A: Given information Mean (µ) = 6 P(X &gt; 15) = 0.38 P(Z &gt; z) = 0.38 P(Z &lt; z) = 1 – P(Z&gt;Z) =…

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A: The pdf of the continuous random variable X is  - .To,find the value of ,, and .

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A: Farmula used. V(X)=E(X2)-[E(X)]2 Sd(X)=√Var(X)

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A: Step 1: Step 2: Hope this helps!

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A: Step 1:Step 2:Step 3:Step 4:Final Answer (a). 77.667(b). 1492.955

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A: Given that,The density function is

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