The continuous random variable, X, has the probablity density function given below. nx for 0 < x < 10 - {* f(x) = 20 elsewhere P(x < 0.5) =|

Q: Consider a tandom variable X with the following probability density function f(x) = a,x > 2 which is…

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Q: The following function represents joint probability density function for the random variables X and…

A: We know, cov(X,Y)=E(XY)-E(X)E(Y)We…

Q: Suppose X is a continuous random variable with probability density fund 0.3 0 1 f(x) = What is the…

A: The variable X is a continuous random variable.

Q: 1. Consider the cumulative distribution function for a continuous random variable X, if r 1 What is…

A: Given: The cumulative distribution function is as follows F(x) = x3     0&lt; x &lt; 1

Q: A random variable X has probability density function given by if z 1 (a) What is the expectation…

A: a) The expectation is calculated as follows: EX=∫01x6x-x2dx=∫016x2-x3dx=6x33-x4401=613-14=612=12

Q: 2. The continuous random variable X has density ta f(x) = otherwise (a) What is a? (b) What is the…

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Q: F(x)=0.25x+0.5 x < -2 -2≤x<2 25x Determine the probability that the random variable X is greater…

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Q: (a) the value of k. (b) the mean and variance of X. (c) P(l£xs3).

A: According to the answering guidelines, we can answer only three subparts of a question and the rest…

Q: For the random variable X with the density function f(x) = {2/ compute Var(X): ☐ and sd(X): 2/x2 for…

A: Step 1: The probability density function of the random variable X is,  Step 2: The variance of X is,…

Q: A random variable X has a Pareto distribution if andonly if its probability density is given by f(x)…

A: Note: The pdf is unclear in the question, hence solved for a two-parameter Pareto distribution: The…

Q: 3.For the continuous random variable X with probability density function defined by ¤(2 – x) 0 <x <…

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Q: SE (3x2 – 12x + 13) 0 3. Determine the value of P(-3 <X<1). (Give your answer to 3 decimal places.)

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Q: 3. If a random variable has the probability density for x>0 2e-2* f(x) = for x <0 Find the…

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Q: 4. Let X be a random variable whose probability density function is given by 3 0≤x≤2 3 2≤x≤2…

A: Ans#4- X be a random variable whose pdf is given by             f(x) = k,      0≤x≤32k2(2 - x),…

Q: A random variable X has a Pareto distribution if and only if its probability density is for a > 1…

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Q: A large company has determined that the function f (x) = 3x, 0 <x<1 serves as a payroll density…

A: Answer : The value of G=0.5

Q: Find the variance for g(X) = 3X* +2

A: Given f(x), we need to variance of g(X)

Q: f(x) = (1-(x-1)2), 0, Find the mean and variance of X. 0 < x < 2, elsewhere

A: It is given that the monthly revenue of a local gaming company is represented by a continuous random…