Q5. The probability density function for a random variable X is given by Jax + bx², 0≤x≤1 otherwise. f(x) = 0, If E(X)= 0.4, find Var (X). (Note: Answer should have a numerical value.)

Q: Verify that h(x) = = 8 3x³ 0 1≤x≤2 otherwise is a valid probability density function.

A: The probability density function is given by,

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A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…

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Q: f (x) = cx, for 1<x<2 and 0 otherwise. Vhat is the value of c? А. 1/4 В. 1/2 C. 2/3 D. 1

A: Given,f(x)=cX     ;   1≤X≤20        ;   otherwise

Q: Suppose X is a continuous random variable whose probability density functio xе¯¤ f(x) = { x≥0 x < 0…

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Q: Q3: Suppose that X and Y have the following joint probability function given by table: fix, y) 1 2 1…

A: We have given that,  Let X and Y heaving joint probability distribution.  Then,  We will find,  1)…

Q: 9. Let p(x) = 4 T(1 + (2x)²) for 20 (and p(a) = 0 if a <0). (a) Show that p is a probability density…

A: 9. Given that p(x)=4π1+2x2 for x≥0.  First, we have to show that p is a probability density…

Q: 1. h(t)= The time to repair a power generator is best described by the following probability density…

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Q: Which of the following tables shows a valid probability density function?

A: We need to find if the given are valid probability density functions.

Q: Use the following to answer the next 3 questions. The random variable X is described by the…

A: 19. The probability density function is,

Q: Let X be a random variable with pdf f(x) = 3(1 – x)² when 0 <æ < 1, and f(x) = 0 otherwise a. Verify…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: x P(X=x) 0 14 1 38 2 38 x P(X=x) 0 18 1 18 2 34 x P(X=x) 0 −310 1 110 2 15 3 1 x…

A: None of the above pmf is valid

Q: Which of the following tables shows a valid probability density function? Select all correct…

A: Which of the following tables shows a valid probability density function?  a valid probability…

Q: 1.The continuous random variable X has the probability density function. The diagram below shows a…

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Q: 0. Let X be a non-negative discrete random variable. Prove that E(X) = | (1-F(2)) dæ 0,

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Q: f(x), a continuous probability function, is equal to 1/12, and the function is restricted to 0<x<12.…

A: Given that  f(x) = 1/12 for 0 &lt; x &lt;12

Q: Which of the following tables shows a valid probability density function? Select all correct…

A: Conditions for the discrete probability distribution The sum of all probability is equal to 1. Each…

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