Let X be a random variable with probability distribution as shown below: -Isxs2 S(x)= and g(X)=4X +2 elsewhere Then the value of E(g(X)) is: 10 7 None of these

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: (b) Let a discrete random variable X have the following PMF: p(x) = k (=) , for x = 1,2, . ..; 0,…

A: Basic probability

Q: A discrete random variables X has the following probability distribution 1 3-x| P(X = x) for…

A: The probability distribution is PX=x=1Q-3-x16

Q: The discrete random variable X has the probability distribution 2 4 P(X=x) k 2k 3k 4k 3.

A:

Q: Let X be a random variable with probability distribution as shown below: -1sxs2 S(x)={3 and g(X)=4X…

A:

Q: Let X be a random variable with the following probability distribution. -4 0 1 2 P(X=x) 0.2 0.3 0.4…

A: No, µ is not a possible value of X.

Q: Let X and Y be two discrete random variables with the following joint probability function x-L 1 2,…

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…

A:

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -1 0.35…

A: Given data,   a)Expectation E(X)=? b)Variance V(X)=?

Q: Let X be a random variable with probability distribution as shown below: 2 <x< 10 f(x) = 3x and g(X)…

A: The E(g(X)) is calculated as E(g(X)) = E(10X + 5) = 10.E(X) + 5

Q: 7 The discrete random variable X has probability distribution given by (4x +7) P(X= x) = for x= 1,…

A:

Q: If the joint probability distribution of X1 and X2 isgiven by f(x1, x2) = x1x236for x1 = 1, 2, 3 and…

A:

Q: Let X be a random variable with the following probability distribution: X = -3 6. 1 p(x) = x = 6 x =…

A:

Q: Let X be a random variable with probability distribution as shown below: -1<x<2 S(x)={3" and…

A: We have to solve given problem

Q: [Q2] The probability distribution for the discrete random variable in the table below. Find: c,…

A:

Q: Let X be a discrete random variable with the following probability distribution function: 2. 3. 4 6.…

A:

Q: Let Xbe a random variable with probability distribution as shown below: -1sxs2 S(x)={3 and g(X)-4X…

A:

Q: Let X1 ~ N(0, 1), X2 ~ N(0, 1), and X3 ~ x²(n) be mutally independent random variables. Find the…

A: a) If X1, X2,…., Xn are mutually independent normal random variables with mean µ1, µ2,…., µn and…

Q: GV)=3 100 ()) + 를100200) ()) +7 1200500) (y) + Iso0,0) ( /200,500) (') + I[500,00) (* 8

A:

Q: A discrete random variable X has the probability distribution as follows: *(x)= 5-x ;x%- 1,2,3,4 10…

A:

Q: The discrete random variable X has the following probability distribution function. 1 3 4 P(X = x)…

A:

Q: a. A random variable X has the following probability distribution: 0 x 18 5 x 18 10 x 18 15 x 18 20…

A: Given, X 0 90 180 270 360 450 P(X=x) 0.1 2m 0.2 0.1 0.04 0.07 Here,…

Q: Let Xbe a random variable with probability distribution as shown below: x² S(x)=- -1<x<2 and…

A: We know that expected value of x is given by, E(X)= integration|x x* f(x)dx  = Integration|x=-12…

Q: Let Xbe a random variable with probability distribution as shown below: -1gx<2 S(x)={3 and g(X)=4X…

A:

Q: Let X be a random variable with probability distribution as shown below: -l<x<2 S (x)=; and…

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

Q: The random variable Y has a Poisson distribution and is such ?that p(0) =2p(1). What is p(2)…

A: Obtain the probability that the random variable Y equals 2. The probability that the random variable…

Q: Let X be the discrete random variable with the probability function f (x) = kx³ + 0.15 %3D for x =…

A:

Q: Determine the values of C so that the following functions represent joint probability distribution…

A:

Q: Let X be a random variable with probability distribution as shown below: -1<x<2 f(x)={3 and…

A: We want to find the E(g(X))= ?  note: According to Bartleby Expert guideline, we can answer only one…

Q: a. A random variable X has the following probability distribution: 0 x 18 5x 18 10 x 18 15 x 18 20 x…

A:

Q: 4 f(x) = OTHERWİSE 0, -12112

A: EX=∫-20x.fxdx+∫02x.fxdx=∫-20x12+x4dx+∫02x12-x4dx=∫-20x2+x24dx+∫02x2-x24dx=12∫-20xdx+14∫-20x2dx+12∫02…

Q: 7. Suppose that X is a Poisson random variable such that P(X = 1) = P(X = 2). %3D %3D (a) What is…

A: we have given that  X ~ P(lambda) X is a discrete random variable  P(X=x)=exp^-lambda . lambda^x/x!

Q: 1. Determine the values of c so that the following functions represent joint probability…

A: Joint probability is a statistical measure that calculates the likelihood of two events occurring…

Q: Find P(X=1 and X=2)

A: Concept: If the probability of occurrence of one event is not affected by the probability of…

Q: If the probability function of the random variable x is defined as x-N(20,25), what is the standard…

A: We have to find correct answer..

Q: Let X be a random variable with probability distribution as shown below: 25 2 <x< 10 f(x) = {3x and…

A: The E(g(X)) is calculated as E(g(X)) = E(10X + 5) = 10E(X) + 5

Q: Let X1, X2, andX3 be independent and normally distributed random variables with E(X1) = 4, E(X2) =…

A:

Q: X is a discrete random variable with the probability distribution function: x Pr[X = x] -4 29 8 -3…

A: Sum of all probabilities =1

Q: A random variable X has a following probability function, X 01 2 3 4 5 6 7 P(X) 0k 2k | 2k 3k K 2k2…

A: Answer - Given probability distribution  table         X 0 1 2 3 4 5 6 7 P(X) 0 k 2k 2k 3k k2…

Q: Let X be a random variable with probability distribution as shown below: 25 2 < x < 10 f(x) = }3x3…

A: The E(g(X)) is calculated as E(g(X)) = E(5X) = 5.E(X)

Q: f X is a geometric random variable with p=0.70 hen p(x=2) =

A:

Q: Let Xbe a random variable with probability distribution as shown below: 1sx<2 S(x)={3 and g(X)=4X +2…

A: 1) Property of Expected value , E( aX + b ) = aE(X) + b Where , a and b are constants.   2) Expected…

Q: Let Xbe a random variable with probability distribution as shown below: -1sxs2 S(x)=3 and g(X)=4X+2…

A: Answer: None of these.

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

A: We will first find the probability mass function of X2 x x2 = Y f(y) (Probability remains the…

Q: Let X be a random variable with probability distribution as shown below: -l<x<2 f(x)= 3 and…

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

Q: . Xand Y are random variables, and f(') is the corresponding probability function. Which of the…

A: We need to use the concept of correlation and verify options.

Q: Let Xbe a random variable with probability distribution as shown below: -1<x<2 S(x)={3 and…

A:

Q: X is a random variable with probability distribution given in the following table X = x P(X=x) |-1…

A: Given that  Probability distribution table X -1 1 3 5 P(X) 0.1 0.3 0.4 0.2   We know that…

Q: 2. Let X be a random variable with the following probability distribution. -4 1 P(X=x) 0.2 0.3 0.4…

A: σ=Var(x)i.e. standard deviation is the positive square root of variance

Q: X is a discrete random variable with the probability distribution function: k Pr[X = k] 6 -3 10 2 -2…

A: mean=E(X)=∑1nxP(X=x)