The probability density function of random variable X is given by: f(x) = }K ſke*-1, -1 < x< 1; %3D 0, otherwise. Then k is equal to:

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Q: Let X be a random variable with the probability density function. f(x) : 20 for x = 1,2,3, 4, ..., 0…

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Q: The probability density function of a random variable X is given by 0<x<1 f (x) = {2-x l<x<2…

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A: It is given that the variable X is uniform random variable with interval [2, 10].

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Q: The spectral density function of a real random process is an even function.

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Q: The density function for a continuous random variable X on the interval 1 ≤ x ≤ 2 is f (x) =…

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A: Given probability density function is, fx=e-1-x;-1&lt;x0;       otherwise Nee to find the moment…

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A: The cumulative function is given as, fxx=10.5821-x2  , -0.3≤x≤0.30      ,       O.W. The probability…

Q: Let X be a continuous random variable with density f (x) = 24x-4 for æ > 2. Then Var (X) is equal to

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Q: Find the density function of random variable X.

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Q: A continuous random variable has the probability density function f(x) = 1/8 for 0 ≤ x ≤ 8. What is…

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A: Given that, a random variable X has cdf:- F(x) = ex ,      [0, z ]

Q: A continuous random variable X has probability density function fx (x) given by fx(x) = k (2 – x)(x…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts(k mean and…

Q: The random variable x is known to be uniformly distributed between 20 and 30. (a) Show the graph of…

A: Therefore, Expected value of x is given by

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Q: Let X be a random variable with cumulative distribution functic given by: F(x) = 1 – e-Az Find the…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: A uniform distribution is a continuous probability distribution where every value of X on an…

A: Given that X is a random variable with a uniform distribution for 5&lt;x&lt;7.

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Q: 5. If the probability density function of a continuous random variable X is (cz" 0<x<1 f(r) =…

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Q: Find the probability density functions of non negative continuous random variables with failure rate…

A: Let X be a non negative continuous random variable.

Q: A uniform distribution is a continuous probability distribution where every value of X on an…

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Q: A continuous random variable X has probability density function fx(x) given by fx(x) = k (2-x)(x -…

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Q: The probability density function of a random variable X is given by 0<x<1 f(x) = {2–x 18x<2…

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Q: The probability density function for the continuous random variable X is: a) What is the…

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Q: The probability density function of a continuous random variable is given by 1 1 4 --X f (x): 4 for…

A: The probability distribution is given by: f(x) =(1/4)e(-x/4)    for x&gt;0

Q: Verify Property 2 of the definition of a probability density function over the given interval. f(x)…

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Q: A random variable X has probability density function given by for 1 < x < 3 f(x) = otherwise.…

A: Given probability density function ,fx=14x for 1≤x≤30  otherwise

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Q: Consider a continuous random variable X with probability density function given by Į kx for 1 < x <…

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Q: The probability density function for a continuous random variable X is given by               f(x) =…

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Q: Let X be a random variable with probability density function, What is EX? f(x) = x(5-x) for 0≤x≤5 0…

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Q: Find the probability density function of the difference of two independent random variables, ea

A: Let us consider the two independent variables x1 and x2 from the density function, f(x)=α2xe-αx,…