Compute the variance of the following probability distribution. If X is a random variable, then the variance is given by Var(X) = E(X²) - [E(X)]². k Pr(X= k) 0 0.1 1 0.3 2 0.5 3 0.1 Var(X) = (Type an integer or a decimal.)

Q: Let X be a random variable with the following probability distribution. Value  x  of  X P (X=x) 10…

A: Let  be a random variable with the following probability distribution.Value x of…

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A: Let X be a discrete random variable with PMF Px(X) , and CDF F(X), the CDF is defined as F(X) = P(X…

Q: Let X be a random variable with the following probability distribution. Value  x  of  X P=Xx 20 0.35…

A: The probability distribution of X is, X P(X) 20 0.35 30 0.1 40 0.25 50 0.3

Q: The probability distribution of X is given as: f(x) = { 0.4; x = 1 (x-1)/4; 1 < x < 2 (3-x)/4; 2…

A:

Q: (a) Find the expectation E (X) of X. E (x) = 0 %3D (b) Find the variance Var(X) of X.

A: We have to calculate the mean and variance of X for given probability distribution.

Q: (i) Find the mean of X (ii) Find the variance of X

A: Given,(i)we calculate the mean of let's calculate the mean:Here we have findoutThe

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -3 0.40…

A:

Q: the probability mass function of a discrete random variable X representing the number of bicycles…

A: Formula : Variance = E(X^2) - [E(X)]^2

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A: According to the given information, we haveThe probability distribution table for the given random…

Q: Let X be a random variable with the following probability distribution. Value x of X P (X=x) 0…

A: Solution

Q: Can you please help me calculate the expected value of x and the variance of x.

A: x p(x) x*p(x) x2*p(x) 0 0.0278 0 0 1 0.0833 0.0833 0.0833 2 0.1389 0.2778 0.5556 3 0.1944…

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -20 0.30…

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A: Given,f(y)=3y22; -1&lt;y&lt;10;  otherwise

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A:

Q: Let X and Y be independent random variables such that E(X)=2, E(Y)=2, var(X)=2, and var(Y)=2…

A: We know that, If X and Y are independent random variables.  Var(X+Y)= Var(X)+ Var(Y)

Q: Let X be a random variable with the following probability distribution Value x of X 2 3 لیا 4 5 PX=x…

A: E(X)=∑X.P(X)E(X2)=∑X2.P(X)V(X)=E(X2)-(E(X))2

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A:

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -2 0.05…

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A: Given See the handwritten solution

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Q: Let X be a random variable with the following probability distribution. Value  x  of  X P (X =x) 0…

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