Show that if X and Y are two discrete random variables (i.e., elementary random variables) then ZX + Y is also a discrete random variable.

Q: In a factory, machine X produces 60% of the daily output and machine Y produces 40% of the daily…

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Q: 13. Take X and Y to be independent random variables each having exp value 5 and stand dev 3. Now…

A: Comments: As per our guidelines we are supposed to answer only three subparts kindly repost other…

Q: If X and Y are two discrete random variables, and x and y are the realizations of the two random…

A: It is given that X and Y are two discrete  random variables, and x and y are the realisations of the…

Q: - Let X and Y are independent Bernoulli random variables, then find X+Y.

A: X & Y are independent Bernoulli random variables,Bernoulli distribution : It is a discrete…

Q: Let's think about the following three random variables: X, Y and Z where Var(A) = 1, Var(B) = 1.5…

A: Let, var(A) =1, var(B) =1.5, var(C)=2

Q: Suppose that X and Y are independent random variables. If we know that σ(X)=7 and σ(Y)=2, evaluate…

A: We have given that, Let X and Y are independent random variables. If we know that σ(X)=7 and σ(Y)=2.

Q: Let X1, X2, ..., X10 be independent random variables. Let Y1 = min{X1, X2, X3}, Y2 = max{X1, X2,…

A: The following solution is provided below

Q: that you have two hard drives where you store your work for this class (one internal and one…

A: Solution

Q: Show that if a random variable has a uniform den-sity with the parameters α and β, the probability…

A:

Q: A supermarket has two customers waiting for their purchases at counter 1 and one customer waiting to…

A: Given data No. of customers waiting for their purchases at counter 1, n1=2No. of customers waiting…

Q: Suppose that 55% of all adults regularly consume coffee, 45% regularly consume carbonated soda, and…

A: event  A : consumes coffee B : consumes carbonated soda P(A) = 0.55 P(B) = 0.45 P(A∪B) = 0.70

Q: a) Let W = x1 + x2 be a random variable representing the total time to examine and repair the…

A: W = x1 + X2 i)The expected value is given by E(W) = E(X1) + E(X2) E(W) = 31.6 + 90 = 121.6   ii)The…

Q: Consider two binary random variables X and Y, i.e. they take values in R = {0, 1} You are told that…

A: From the given information, There are two binary random variables X and Y. P(X=0)=1/3…

Q: Suppose V, W,X, and Y are random variables. If V and W are

A: Always remember, When two variable is independent, then their correlation coefficient is zero…

Q: Dave’s photography store has the following inventory problem. The store stocks a particular type of…

A: The store stocks a particular type of camera that can be ordered weekly. represents the demand for…

Q: If X is a continuous random variable that takes on values between 10 and 40, then the P(X = 15.5) =…

A: We have given that  X is a continuous random variable that takes on values between 10 and 40, then…

Q: Orders come into a pizza place by phone are either for cheese or pepperoni pizza. The time to…

A: Given that the mean time to process and cook a cheese pizza is 3 minutes, Rate parameter, μ=13 Then…

Q: Suppose X₁, X2, and X3 are independent Bernoulli random variables with success prob- abilities p₁,…

A: , , and are independent Bernoulli random variables. ,  and are the probability of success of these…

Q: Consider a financial asset (for instance a stock) and assume its value today is $100. Let X; be the…

A: To estimate the probability that we make a gain in our investment, It is required to calculate the…

Q: 3) A discrete random variable X has the following probability distribution: 1 2 4 6. 7 P(X) K 2K 2K…

A: We want to find k, mean and variance.