The random variable X has probability density function f(x) given by: - 2 < x<2; f(x) = 2a' 0, otherwise. Find a so that P(IXIS 1) = P(IX| > 1) None of these O 1 O 2 8

Q: If the continuous random variable X has the probability density S 6x(1 – x) for 0 <x <1 elsewhere -…

A: Given,f(x)=(6x-6x2)for  0&lt;x&lt;10elsewhere

Q: 5) Given X with the probability density function: 4x, if 0<x< 1 0, otherwise fx(x) 6) = Determine…

A: Check the solution in the explanation.Explanation:Check the image below for a detailed solution.

Q: Consider the probability density function 0 if x 4.

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Q: Let X be a random variable with probability density function S c(8x – a?) if \ 0 8

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Q: Consider the probability density function if x 1. 2x4 Find E(X). Select one: | -IN -|0 O O O O

A: Obtain the expected value of E(X).   The expected value of E(X) is obtained below as follows:   From…

Q: 2. A random variable has a probability density function given by f(x) = { } ² 0 ≤ x ≤ 2, otherwise.…

A: Given that

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A:

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Consider the probability density function 0 if x 1.

A: Given,the probability density function of X isf(x)=0if x&lt;012if 0≤x≤132x4if x&gt;1

Q: 6) Assume that there is a continuous random variable X with the following probability density…

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Q: O Suppose that a random variable X has a continuous distribution for which the probability density…

A: