Let X be a random variable with the following probability distribution. Calculate the following Find the expectation E (X) of X E (X) =? 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: Find the probability P(X > 1). (ii) Find the expectation E(X). (iii) Find the variance Var(X). give…

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

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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…

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Q: Suppose that X and Y have the following joint probability function: 3r, if0<y< a<1 0, f(x, y) =…

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Q: Let X be a random variable with the following probability distribution: |-3 6. 9. P(X) 1/6 1/2 1/3…

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

A: The following table shows the provided outputs of the discrete random variables, along with the…

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: (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: Let X be a Poisson random variable such that 2 P(Xe 4P(X 1) +5P(X = 2) %3D 2020/03/om (a) Find its…

A: Given that    We have to find  a..We have to find the mean and variance of X  b .. Probability that…

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) -3 0.40…

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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: The probability of an event depends on the random variable X and can be expressed by the following…

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

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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) 10 0.15…

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Q: Let Xbeaandom variable with the following probability distribution ValueofX PX- 0.10 -2 0.0s -1 9.50…

A: Let X be a random variable with  following probability distribution, X -3 -2 -1 0 P(X=x) 0.10…

Q: variable with the following probability distribution. Value x of X P(X=x) 0 0.30 10 0.30 20 0.15 30…

A: From the provided information, The probability distribution is as follow: x P (X = x) 0…

Q: A discrete random variable X is defined by the following probability distribution. Calculate the…

A: Given : X is probability distribution To find : Standard deviation

Q: Prove that f_x is a true probability function, find its expected value and its variance

A: HERE FOR VALID PROBABILITY DISTRIBUTION FUNCTION TOTAL PROBABILITY IS ALWAYS EQUAL TO 1

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: If E denotes the expectation the variance of a random variable X is denoted as? a. (E(X))² b. C.…

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Q: Calculate the expected value of X, E(X), for the given probability distribution. E(X) =   x 10 20…

A: Consider the given data. x PX=x 10 1050 20 1550 30 550 40 2050

Q: In Exercise, a probability density function of a random variable is defined. Find the expected…

A: To find: The expected value, the variance, and the standard deviation. Given information: The…

Q: Let X1, X2, ..., X144 be independent identically distributed (i.i.d.) random variables, each with…

A: Let be independent identically distributed random variables each with expectation The standard…

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

A: Given probability distribution table is value x of X P(X=x) -2 0.05 -1 0.35 0 0.25 1 0.35…

Q: Let X be a random variable with the following probability distribution Value x of X P(X=x) 0. 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) 10 0.30…

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

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

Q: Find the value of e, such that f(r) is the probability function of a random variable:

A: Given f(x) we need to find value of c

Q: If E denotes the expectation (random variable X is denoted the variance of a as (E(X))^2 - E(X False…

A: Given,E denotes the expectation .

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

Q: A discrete random variable X has the following probability distribution: 2 0.25 4 P(x) 0.10 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) -2…

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

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

A: Given data is value of x of X P(X=x) -1 0.05 0 0.25 1 0.55 2 0.15

Q: Let x be a random variable with the following probability distribution. Value x of X P(X=x) 10 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) 40 0.10…

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Q: Let X have an exponential distribution with 0-1. The probability P 6. <5is equal to

A: Introduction: Given that X is a Exponential random variable with parameter θ = 1. The PDF, fX(x) and…

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

A: Given: x P(x) 0 0.35 10 0.35 20 0.05 30 0.25 Total 1

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

A: Given that  Probability mass function of X is  Value x 30 40 50 60 70 80 P(X=x) 0.15 0.25 0.20…

Q: Let the probability function of the random variable X be defined as f (x) = cx² for 0≤x≤1, otherwise…

A: Let X is the random variable: fXx=cx20≤x≤10otherwise a). The value of constant c: ∫-∞∞fXudu=1 So:…

Q: Calculate the expected value of X, E(X), for the given probability distribution. 1 P(X = x) 0.1 0.2…

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Q: Let X be a random variable with the following probability distribution. Value x of X P (X=x) 20 0.10…

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Q: c) Let X be the random variable with the cumulative probability distribution: x < 0 F(x) = {₁ - e-²x…

A: