The conditional expectation of Y given X-x is x 00 The conditional variance of Y given X-x is ²

Q: If X and Y are independent random variables with variances Var(X) = 5 and Var(Y)= (a) find the…

A: Given  V(x)=5, V(y)=3,  Z=-2x+4y-3  X and Y are independent

Q: The probability distribution of X is given as: f(x) = { 0.4; x = 1 (x-1)/4; 1 < x < 2 (3-x)/4; 2…

A:

Q: If the variance of x is 4 then the variance of 3 + 5x is (a) 100 (b) 103 (c) 20 (d) 23

A: Step 1:Adding a constant a to a random variable does not change its variance, and multiplying a…

Q: Question 8. Let X and Y be random variables with Var(X) 1, Var(Y) 3, and Var(X-Y)3D4. The…

A: Solution: From the given information,

Q: (X, Y)~ Beta(01, 02, 03). Find the expected value and the variance of Y.

A: The joint probability density function of (X, Y) under the Beta distribution is given by:  f(x,y) =…

Q: (i) Find the mean of X (ii) Find the variance of X

A: Given,(i)we calculate the mean of let's calculate the mean:Here we have findoutThe

Q: Q3/A/ Let X be a r.v with p.d.f f(x) =;e-lkl - 00 <x < 0, then the value of variance of X is

A: 3. Given information: It was stated that X is a random variable and the probability density function…

Q: (c) When is this distribution used in the real world?

A: The Weibull distribution is commonly used in the real world to model failure times of components,…

Q: b. Find E[X(X – 1)] for Poisson random variable. Use the result to find the variance of X.

A:

Q: Jessica hypothesizes that giraffes will look longer at human infants than at adults. In her zoo, she…

A: It is given that Jessica hypothesizes that giraffes will look longer at human infants than at adults…

Q: (Math 161A/163 review) Suppose that X₁, X2, X3 are independent Exponential (A) random variables. A>…

A:

Q: Find " E(2X-1)" Find the variance of X and Var(2x-1)

A: Here total outcomes by rolling 2 dice =6×6 = 36 Here X =  difference of the number on the face of…

Q: b) Find the variance Var(X) of X.

A:

Q: Let X be a random variable with mean 6.1 and variance 2.4. Let Y be a random variable with mean 7.5…

A: We have given that, E(x)=5.1 , Var(X)=2.4 E(Y)=7.5 , Var(Y)=3.2 , Cov(x,y)=0.65

Q: Task of the day (a) If Z=aX+ bY and r is the correlation coefficient between X and Y, show that…

A: The variance of a random variable X, denoted by Var(X), is defined as a measure of dispersion of the…

Q: Let X 1 be a normal random variable with mean 2 and variance 3 and let X 2 be a normal random…

A:

Q: Subject: Your Month к хчу pcxing) other Find the marginal probability of Y P (Y) Date: X=1,2 153…

A: XY 1 2 Total 1 k 4 k 5 k 2 2 k 8 k 10 k 3 3 k 12 k 15 k Total 6 k 24 k 30 k we know…

Q: C2] Example: Student A takes X ~ Expo(A) hours to finish his homework, while Student B takes Y ~…

A: From the given information, X~ExpoλY~Expoμ Assume X and Y are independent. a) The probability that…

Q: P (X) = x / 10 if,  X = 1, 2, 3, 4 is a probability distribution for the random variable X. True…

A: We have to find true or false.

Q: What is the formula for the variance? o S? =E (x - X)? / n o S? = E (X - x)? /n o S2 = E (x - X) / n…

A: Variance is one of the measures of dispersion.

Q: Let X, Y N (2, 3) two normal random variables with mean 2 and variance 3. Which of the following…

A: Normal distribution  mean , median and mode are eqaul

Q: x p(x) 3 1/11 2 2/11 14 1/11 10 1/11 5 3/11 6 1/11 4 1/11 8 1/11 What is variance

A: In question,  Given that X is a random variable having pmf, x      p(x) 3     1/11 2     2/11 14…

Q: For an experiment, roll 2 fair dice. Let the random variables, X = sum of the 2 dice  Y = larger…

A: For an experiment, roll 2 fair dice.Let the random variables, X = sum of the 2 dice Y = larger value…

Q: Compute the correlation between the random variables Y1 and Y5 = 1+ X1 + X2.

A:

Q: Suppose that for a particular computer salesperson, the probability distribution of x = the number…

A: a) The random variable x defines the number of systems sold in 1 month.

Q: A local library is analyzing the number of books checked out by patrons in a week. The probability…

A: Let X be the random variable which denotes the number of books checked out by patrons in a week. The…

Q: 3- The variance of the random variable is the second derivative of the moment generating function…

A: The moment-generating function of a random variable X is: {\displaystyle M_{X}(t):=\operatorname…

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: (x2) = 375 and (x) = 17; find variance in x (x2) = 1721 and (x) = 31, find variance in (xy) = 27,…

A: Introduction: Variance and covariance are two mathematical terms that are commonly used in…

Q: The variance of a discrete probability distribution can be calculated using the formula: H=Ex.p(x)…

A: We know that  E(x)= ∑X.p(x)E(x2 ) = ∑X2.p(x)Variance =?2 = E(x2 ) - [E(x)]2 Where μ= E(x)

Q: W= X+ 3Y Find the (c) correlations (d) correlation coefficient of V and W

A:

Q: Each day a random number, N ,of visitors make a purchase. The mean of N is E(N) = 12.8 and its…

A: Given information: EN=12.8VN=8.5EXj=130.0VXj=42.0 Y=∑j=1NXj

Q: How do u find expected value

A: How do u find expected value

Q: In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000).  The table…

A: Solution: x= The X-Tract Company’s projected annual profit (in $1,000). f(x)=  The probability of…

Q: Example .If x, and x, be 2 values of a variable x and each of the remaining (n-2) values be 5(+xx).…

A: Solution Here,  The mean is Mean=1n[x1+x2+(n-2)(x1+x2)2]Mean=12n2*(x1+x2)+(n-2)(x+x2)Mean=x¯=x1+x22…

Q: Let X be a discrete random variable that is the value shown on a single roll of a fair die. (a) What…

A: Step 1: Step 2:  Step 3: Step 4:

Q: For independent random variables X and Y. Var(X-Y)=Var(X)-Var(Y) O True O False If the correlation…

A: Solution:-