Let X be a random variable with the following probability distribution. Value X of X P(X=x) 30 Continue 40 50 60 70 80 0.15 0.25 0.20 0.10 0.15 0.15 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = (b) Find the variance Var(X) of X. Var(x) = 0 O M EX

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…

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

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A:

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

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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

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

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A: The given probability distribution of  is:Value  of 00.110.520.0530.140.1550.1

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A: Solution

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A: Given: Let X be a random variable .

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

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) -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

Q: Value x of X P(X=x) 20 0.25 30 0.15 40 0.20 50 0.10 60 0.30 Complete the following. (If necessary,…

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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 following probability distribution. Value x of X P(X=x) -20 0.30…

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A: The given data is,

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A: X P(X=x) 10 0.05 20 0.35 30 0.55 40 0.05

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A: Consider the preliminary calculations given below: Value x of…

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A: The provided information is as follows:The  is a random variable with the probability density…

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A: Step 1:XP(x)xP(x)x2P(x)-200.40-8160-100.15-1.51500.4000100.050.505  Step 2: The Expected…

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A: E[x] = ∑xp(x)

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A:

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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:

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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: 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: Let X be a random variable with the following probability distribution. Valuex of X 40 50 60 70 80…

A: Given data is Value x of X P(X=x) 40 0.15 50 0.15 60 0.25 70 0.30 80 0.05 90 0.10

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

A: Here given discrete probability distribution of X

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

A: Answer X          P[x] 20       0.1530       0.2040       0.1050       0.1060       0.1070…

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 30 0.40…

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

A: The probability distribution for random variable X is given.

Q: Let X be a random variable with the following probability distribution. Value x of X 0 1 2 3 P(X=x)…

A: Given Value of x        p(X=x)     0                      0.55     1                     0.30      2…

Q: Let X be a random variable with the following probability distributio Value x of X 20 30 40 50 60 70…

A: Value x of X P(X=x)200.30300.10400.05500.40600.10700.05