Let X be a random variable with the following probability distribution. Value x of X P(X=x) 10 0.30 20 0.45 30 0.15 40 0.05 50 0.05 Complete the following. (If necessary, consult a list of formulas.) |(a) Find the expectation E (X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(X)

Q: Let X be a random variable with the following probability distribution. A) Find the expectation E(X)…

A: Given data, X P(X=x) -2 0.25 -1 0.15 0 0.35 1 0.25

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

A: Consider , the table , x P(x) x*P(x) x^2*P(x) 0 0.4 0 0 1 0.05 0.05 0.05 2 0.15 0.3 0.6 3…

Q: Let X be a random variable with the following probability distribution. Question table Value x of X…

A: E[X] = ∑xP(x)

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 0.30 10…

A:

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

A: Given: Pmf of X is X P(X=x) -20 0.10 -10 0.05 0 0.40 10 0.10 20 0.30 30 0.05 we…

Q: Let x be a random variable with the following probability distribution. Value x of X P(X=x) -1 0.25…

A:

Q: Let X   be a random variable with the following probability distribution. Question table Value…

A: 20 0.3 6 400 120 30 0.05 1.5 900 45 40 0.4 16 1600 640 50 0.15 7.5 2500 375 60 0.1 6 3600…

Q: Let x be a random variable with the following probability distribution. Value x of X P(X=x) 2 0.10 3…

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

A: The E(X) is defined as E(X) = ∑x.P(X = x) And variance of X is  V(X) = E(X2) - (E(X))2

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

A: Here given discrete probability distribution of x  Here use expected value and Variance formula

Q: Let X be a random variable with the following probability distribution. Value x of X P (X=x) 1 0.05…

A: Solution-: We have following table: X P(X=x) 1 0.05 2 0.85 3 0.05 4 0.05 We find, (a)…

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A: Given : X P (X) 0 14 2 18 -2 14 4 18 -4 14

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A:

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

A: Given data, x P(X=x) 0 0.30 10 0.05 20 0.20 30 0.05 40 0.35 50 0.05

Q: Let the probability function of the random variable X be defined as f(x)=cx(1-x) for 0<x<1,…

A: f(x) = c(x-x2)   a)We know that, ∫abf(x)dx = 1 ∫01c(x-x2)dx = 1 c(x22-x33)]01 = 1 c(12-13) = 1 c = 6…

Q: The table below is the joint probability distribution of X and Y. y fxy(x.y) -1 -2 1/8 -0.5 -1 1/4…

A: The joint probability distribution can be represented as:

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A: Given :  X P(X) 200 0.6 500 0  Expected value ,E(X) = μ=∑X.P(X)…

Q: Let X be a random varlable with the following probability distribution. Value x of X P (X=x) 10 0.10…

A:

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 30 0.45…

A: Let X be the random variable having probability distribution is,  X P(X=x)  30 0.45 40 0.15…

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 10 0.15…

A:

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

A: Given: x p(x) 40 0.05 50 0.25 60 0.25 70 0.05 80 0.35 90 0.05 Total 1

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Q: Let X be a random variable with the follow Value x of X P(X=x) -2 0.25 -1 0.15 0.35

A: We have to find expected value...

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A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

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Q: Let X be a random variable with the following probability distribution. Question table Value   of X…

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Q: c) Let X be the random variable with the cumulative probability distribution: F(x) = {₁²e-²x x<0 x…

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A: See the handwritten solution

Q: The table below is the joint probability distribution of X and Y. y fxy(x.y) -1 -2 1/8 -0.5 -1 1/4…

A: The joint probability distribution table can also be represented as:   The marginal distribution of…

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A: Given that  The probability distribution table  X -1 0 1 2 P(X)  0.05 0.50 0.35 0.10   We…

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A: Let X be the random variable having probability distribution is,  X -20 -10 0 10 20 P(X=x)…

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A: Given, X P(X=x) -2 0.25 -1 0.20 0 0.40 1 0.10 2 0.05

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A: Let X be a continuous random variable taking values in interval -∞,∞ with probability density…

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Q: Let X be a normal random variable, with E(X) =10, E(X^2)=200. Find the value c ,where c>0, such that…

A: Given Data; E(X)=10 V(X)=E(X^2)-E(X)^2=200-100=100 SD(X)=10   X~ Normal (10, 102)