Let X be a discrete random variable with probability function as shown in the following table.   x -2 -1 0 1 2 f(x)=P(X=x) 1/8 a b 1/8 1/8   If P(X=-1)=5P(X=0), the expected value of X is

Q: 2. The discrete random variable X has the probability function kx, x = 2,4, 6 P(X = x) = - 2), x = 8…

A: From the given information, it is clear that,  The discrete random variable X has a probability…

Q: 1. Suppose that Z, and Z, are discrete random variables with joint probability distribution given in…

A: Z1 and Z2 are independent if p(z1,z2)= p(z1)*p(z2)  Marginal p.d.f of Z1 and Z2 :    Eg:  P(Z1=-1,…

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A: Given: The probability generating function of a random variable X is given as:…

Q: Let X be a random variable with cumulative distribution function F(x) = 1-e" for a> 0. What is P(0 <…

A: Correct answer is   0.75

Q: Let X be a discrete random variable with the cumulative distribution function: 0 if x < 1 if 1<x<3…

A: Given X is a discrete random variable with cumulative distribution function:  F(x) = 0           if…

Q: Let X and Y be two discrete random variables with a joint probability distriībution given by X-2 X-3…

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Q: P(X=0)=P(X=2)

A:

Q: Let X be a discrete random variable with probability function f(x) = kx for x = 0,2,5,7. The value…

A:

Q: 3) The joint probability function of two discrete random variables X and Y is given by f(x; y) =c(2x…

A: Given discrete random variables X and Yf(x,y) = c(2x + y) where 0 ≤ x ≤ 2; 0≤ y ≤ 3, f(x,y) = 0…

Q: F(x) = x < -1 = 0 F(x) = -1 ≤ x < 0 = .15 F(x) = 0 ≤ x < 2 = .3 F(x) = 2 ≤ x < 3 = .5 F(x) = 3 ≤…

A: Solution

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A: The probability distribution of a random variable gives the probability at each possible value of…

Q: Let X be a random variable with probability distribution 1 2 3 f(x) 0.3 If E(X) = 1.8, then B %3D…

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Q: Let X be a discrete random variable with probability function as shown in the following table. x -2…

A:

Q: Let X be a discrete random variable with probability mass function in the form х 1 2 3 4 5 f(x) 0.1…

A: Let X be a discrete random variable with probability mass function.

Q: Let X be a random variable with E (X") = 0.8 for n = 1,2,3, . , 00 the moment generating function of…

A: Given: X be a random variable with EXn=0.8  for all  n=1,2,3.....∞ we need to find the Moment…

Q: 2. Let X and Y are two discrete random variables with joint probability function as follows: Values…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: b) Let Y, and Y, be discrete random variables with a joint probability distribution as shown in the…

A: Given: The joint probability distribution of the random variable Y1 and Y2 is provided as:…

Q: Let X and Y be two discrete random variables with a joint probability distributicn given by X 0 X-2…

A: Correct answer is  0.7

Q: Let X be a discrete random variable with probability function as indicated in the following table.…

A: We have given that probability function  X is a discrete random variable.  x -2 -1 0 1 2…

Q: Let X be a discrete random variable with the following probability density function -3 -2 P(X=x)…

A: Solution

Q: p.d.f. h(x) of the random variable x is defined by h(x) =3/(4(1-x²)),-1<x< 1,Calculate the expected…

A: Given pdf of random variable is defined by h(x). We have to find the expected value of X that is…

Q: 1- Let X be a discrete random variable with the following probability distribution 1 2 3 4 f(x) 0.1…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: For a continuous random variable X. we can compute the probability of P (a < X<b) by O Fibl-Fla) O…

A: GivenP(a&lt;X≤b)

Q: Given a Probability Distribution Function: Fx (x) = 0.2u (x + 1) + 0.3u (x - 2) + 0.5u (x - 3),…

A: Answer: Option c. fxx=0.2δx+1+0.3δx-2+0.5δx-3

Q: Let X be a random variable with the following cumulative distribution function: 0, х< -2 0.1, -2 < x…

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Q: Let X be a discrete random variable with probability function as shown in the following table.   x…

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Q: Example 8 : A random variable X gives measurements x between 0 and 1 with a 12x - 21x2 +10x, for 0…

A:

Q: Suppose the discrete random variable X has probability function 1. px(1) I = 1,2, 3, I(I +1)"

A: Given  :    pxx  =1xx+1,  x=1,2,3,...

Q: Consider a random variable X with the following probability function: 0.3 if x = 0, 0.2 if æ = 1,…

A:

Q: For the discrete random variable X, P(X = 1) = p = 1 – P(X = -1). Please find c so as to be E(cX) =…

A:

Q: 1) Let the probability function of a discrete random variable X be 100) = {(²+²) (0.5) (05) 1-²,…

A: Solution

Q: Let X be a discrete random variable with probability function as indicated in the following table.…

A: A discrete distribution can only take specific values. Here, the discrete distribution X can take…

Q: Let X and Y be two discrete random variables with a joint probability distribution given by X-0 X-2…

A: Let X and Y are two discrete random variables. The joint probability distribution table is given by

Q: Let X and Y be two discrete random variables with a joint probability distribution given by X-0 X-2…

A: Given Distribution,   X = 0 X = 2 X = 4 Y = 1 0.03 0.02 0.1 Y = 3 0.15 0.2 0.1 Y = 5 0.2…

Q: 6. A discrete random variable X has a cumulative distribution function, f as follows. 0, 3c, 2sx<4…

A: The probability distribution is fx=0,    x&lt;23c,   2≤x&lt;45c,   4≤x&lt;67c,   6≤x&lt;81,  x≥8…

Q: Let X be a random variable such that E(X – 2)² = 10 and E(X+ 1)² = 4, then 1 а. Е(X) = - b. E(X) = =…

A: How to obtain E(X) 1. Simplify both expression to get two equation 2. Simplify both equation and…

Q: Let X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6)…

A: The following information has been given: We have given that X is a discrete random variable.  P(X =…

Q: Let X be a discrete random variable with probability function f(x) = kx for x = 1,2,3,4. The value…

A:

Q: Let X1 and X2 be continuous random variables with the joint probability - function fx1,x,(x1, x2),…

A: Hello! As you have posted 2 different questions, we are answering the first question (2.2.5). In…

Q: Consider a random variable X with associated probability function in Table 1. Which of the following…

A: Sum of all probabilities should be = 1

Q: A discrete random variable Y has the probability function as given below. Y -2 2 4 P(Y) 0.25 0.50…

A: In the given table  We have  P( -2)= 0.25 P(2)= 0.50 P(4)= 0.25 As per the rule of probability…

Q: a) Find the value of the constant c

A: The joint pdf is given by f(x,y) = c(2x+y)

Q: If P(X=-1)=5P(X=0), calculate P(X=0)

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Q: Let X be a discrete random variable with probability function f(x) = c(x2 +3)for x=0, 1, 2 and 3.…

A:

Q: For the discrete random variable X, P(X = 1) = p = 1– P(X = -1). Please find c so as to be E(c*) =…

A: The given equation is P(X = 1) = p = 1 – P(X = -1) and E(cX) = 1.

Q: A random variable X has the following probability mass function table X 0 1 2 probability 0.25 0.5…

A: Solution: From the given information, the probability mass function of X is

Q: Let X be a discrete random variable with probability mass function given in the following table: -3…

A: