(a) Find the value of K. (b) Is this random variable discrete, continuous or mixed. (c) What is the probability that < X<1? (d) What is the probability that

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A: f(x1,x2)=2(1-x1)   0≤x1,x2≤1   P(0&lt;x1&lt;0.5,0.4&lt;x2&lt;0.7) =∫x1=00.5∫x2=0.40.72(1-x1) dx1…

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Q: Let X be a random variable representing a risk with E(X) = 10 and E(X) = 125. %3D A portfolio…

A: Given  E(X)=10, E(X2)=125, n=25  Note this Probability value calculated from standard normal…

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Q: The cumulative probability distribution for the random variable X 0, x<0 F(x)= 8 3x2 Osx<2 given as.…

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Q: independent exponential random variables (b) Verify this inequality when X and Y are both with A=1.

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Q: The random variable x follows a uniform probability distribution in the interval (0,1); the…

A: We know that  The pdf of Uniform distribution is  f(x) = { 1/(b-a) ,   a&lt;x&lt;b                0.…

Q: A random variable follows a distribution of the form f(x)=k(x+2)e^-x over x>orequalto 0 . Determine…

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Q: The expected value of x̄ equals the mean of the population from which the sample is drawn _____.…

A: From the given question, Then expected value can be defined as:

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A: f(x)=(k+2)x3        0&lt;x&lt;10                           o/wproperities∫f(x)dx=1

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Q: b) Let X be the random variable with the cumulative probability distribution: 0 x < 0 F(x) = {kx²…

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A: Given, probability function of the random variable x- PX=x=kx ; x=1,2,3kx+1; x=4,5 The table below…

Q: The probability distribution of the discrete random variable X is 3-x x = 0,1,2,3. .4, Find the…

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Q: The continuous random variable X is uniformly distributed over the interval [2.5, 3.5|].

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A: (a) To evaluate the expectation by definition, we need to derive probability density function first,

Q: a) A merchant receives a shipment of five photocopying machines, two of which are defective. He…

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