Let X be a discrete random variable with probability mass function given in the following table: -3 -1| 0 1.5 2.5 p(x) | 0.1 0.2 0.4 0.1 0.2 Find the following probabilities: (i) P(X > 0) = %3D (ii) P(-3 < X < 1.5) = (iii) P(X # 0) =

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Q: (a) A discrete random variable, X, has the following probability function P(x) 03 -2 -1 12 p(x) 0.3…

A: x P(x) -2 0.3 -1 0.2 1 0.2 2 0.3   we have to solve q-4.

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.

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A: According our policy we can answer only first question for remaining please repost the question.

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -20 -10…

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A: Solution

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Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -30 -20…

A: Probability distribution of X : X P(X=x) -30 0.1 -20 0.45 -10 0.2 0 0.1 10 0.15

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Q: Let X denote a random variable that takes on any of the values -1, 0, 1 with respective…

A: P(X = −1) = 0.2,P(X = 0) = 0.5,P(X = 1) = 0.3.

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Q: Determine the following probabilities: P(X > 0.25, Y 0.25, Y 0.25, Y < 4.5) = 1/2 P(Y < 1.5) = 2/3

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Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -30 0.65…

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Q: Determine the following probabilities: P (X > 0.25, Y 0.25, Y 0.25, Y 0.25, Y < 4.5) = 5/8 P(Y <…

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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

Q: X p(x) 0 0.5 1 0.3 2 0.2

A: Let X be the Random variable having probability mass function is,  X 0 1 2 P(X)  0.5 0.3 0.2…

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A: Answer:From the given data,XP(X)-10.440.1570.2580.2Total1.00

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: X (X=x)  3 0.35 4 0.40 5 0.15 6 0.10 Then,  Expectation of X E(X) and variance of X…

Q: Determine the following probabilities: P(X < 0.5, Y < 1.5) and P(X < 0.5) y f(x, y) -1.0 -2 1/3 -0.5…

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Q: Let X be a random variable with the probability distribution below. Find g(x), where g(x) = (2x +…

A: Given datax          -3        6         9f(x)       512      112      12andg(x)=(2x+3)2

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

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

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Q: Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X)…

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