Let Xbe a random variable with probability distribution as shown below: -1sxs2 S(x)={3 and g(X)-4X +2 elsewhere Then the value of E(g(X)) is:

Q: A random variable X is defined by X =- 2 = 3 with a prob. of 113 with a prob. of 1/2 with a prob. of…

A: Given, X -2 3 1 P(X) 1/3 1/2 1/6

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: The diameter X of an electrical cable is a continuous random variable with p.d.f: The probability…

A: Given that the diameter X of an electrical cable is a continuous random variable with p.d.f…

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

A:

Q: b) If X is a random variable with the following function: -1< x < 2, elsewhere. Find the…

A:

Q: Consider the discrete random variable X1, with probability pi X = with probability p2 X2, with…

A:

Q: Let X be a random variable with E(X) =0 and E(X²) = 2. Then the value of E[X(1– X)] is Select one:…

A:

Q: 4. Let X be a discrete random variable with E (X) = 3 and Var(X) = 0.5, What are the mean and…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: b) Let X be the random variable with the cumulative probability distribution: 0, x < 0 W F(x) = kx²,…

A:

Q: Let X be a random variable with p.d.f. 0<x<0 S(x) = • ,find E(e3) O.w

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: X³, 2Y²-3Y+4)  Calculate the covariance by creating a common distribution table for the given…

A:

Q: Let P(x) = , x = 0,1, 2,3 be a probability distribution for a discrete random variable X, find: %3D…

A:

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

A:

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: The probability distribution function of a discrete random variable X is x2 55 ,x = 1,2,3,4,5 0,…

A: Find  Var(3X+2)=? 5E(2X-1)=? E(2X+1)2=?

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: 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: Let X be a random variable with probability distribution as shown below: if x<0 f(x) = { 1 e 5.6 5.6…

A:

Q: Let X be a random variable with p.d.f. 2e-2x 0<x<00 f (x) =• , find E(e 2*) O.w

A: Given, the probability distribution function of a random variable X- fx=2e-2x  ; 0&lt;x&lt;∞0…

Q: C/ If x is a normally distributed for continuous random variable with " = N+5+G and o = N+3. Find…

A: Given,G=1N=27Mean(μ)=N+5+Gμ=27+5+1=33Standard deviation(σ)=N+3σ=27+3=30

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

A:

Q: (4) Let X be a random variable with p.d.f. 2e-2x 0 <x<0 f(x) =• find E(e-2x) O.W

A: Provided probability density function is, fx=2e-2x         for 0&lt;x&lt;∞=0…

Q: Let X₁ and X₂ be independent exponential random variables, with parameters X₁ and 2, respectively.…

A: Given : X1 and X2 are two independent exponential random variables with parameter lambda1 and…

Q: X be the random Variable with the following probability distribution: X: 3 6 9 Р(X): 1/6 1/2 1/3 (d)…

A:

Q: Let X be a random variable distributed exponentially with parameter such that is 1/2 find the…

A:

Q: Let X be a random variable with p.d.f. 3e-3x f(x) = { 0 <x<00 , find E(x) O.w

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Let X be a continuous random variable with probability distribution as shown below: (x*(2x +), if0 <…

A:

Q: For a random variable X, (E(X))² can be greater than E(X²).

A: We have to find statement is true or false.

Q: Let X be a continuous random variable with probability distribution as shown below: (x*(2x +), ifo…

A: We need to find expectation of given function

Q: the random variable Y is such that : E(2Y+3)=6    and    Var(2-3Y)=11 find      E(Y^2)

A:

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

A:

Q: For a random variable X ~ Exp(2), find P(X < 1) and E[X].

A: Given: λ=2

Q: (4) Let X be a random variable with p.d.f. 2e-2x 0<x<0 f(x)= , find E(e2x) O.w

A: Random Variable: A random variable is a real valued function that assign a real number to each…

Q: 5. Calculate the value of k so that the function f(x) = k/5ª. N, set a probability function of a…

A:

Q: The distribution function of the random variable X isgiven byF(x) = 1 − (1 + x)e−x for x &gt; 00 for…

A: The required probabilities are as follows:

Q: In a certain city the daily consumption of water (inmillions of liters) is a random variable whose…

A: fxx={ 19xe.-x3,x&gt;0            0,0.wa) Px≤6=∫-∞6fxxdx                = ∫-∞00dx+∫0619xe-x3dx…

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: -Isxs2 S(x)= and g(X)=4X +2…

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

Q: Let X be a random variable taking positive values and assume that E(X) exists. Which of the…

A: Option (I) is correct as E(X2)&gt;= (E(X))2 when we find Variance.

Q: The distribution function of a random variable X is given by 0, for x 1. Find (a) P(-< X < }); (b)…

A: From the given information, Distribution function can be expressed as: Now PDF can be drawn from…

Q: A- Let x be a discrete random variable with probability distribution function f(x)=k( x2 +20) and x=…

A:

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: 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: Let X be a discrete random variable with PGF P.(s) = (*1)". a. Find the probability distribution of…

A:

Q: The discrete random variable X has the probability function, where k is constant х%3D 2,4, 6, 8 kx…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Let discrete random variables X and Y have the following probability distribution: Y 1 2 -1 0.10…

A: Expectation of Joint Distribution: Let X and Y be two jointly distributed discrete random variables…

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)

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.