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

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: (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: (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: 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: 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: 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: 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: (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: 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: 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: 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:-