4 Y is a discrete random variable with the probability distribution function: k | Pr[Y = k] 6 -3 12 -2 12 22 42 12 -1 Determine E(Y). ○ A. 1 2 alwo w/2000 B. DE. -2 Reset Selection O W P X DO MAR 26

Q: X 0 1 Y(X = 3) 3K 2K A random variable X has the following probability distribution 22 3 K 4K Then…

A: Step 1: We know that total probability should be 1.P(X=0)=3kP(X=1)=2kP(X=2)=kP(X=3)=4k So,…

Q: (MT-IB 1992-406D long) Let e, €2, .... E, be independent random variables each with the N(0, 1)…

A:

Q: Find the expected value of q. d. Let X1, X2,., Xn be i.i.d. Bernoulli(p). Suppose q =

A: Bernoulli Trail: In probability theory, a Bernoulli trial is a random experiment which has exactly…

Q: Let X and Y be discrete random variables with joint probability function p(x, y) = Calculate E A B C…

A: The discrete random variable  and  with joint probability function is given by:

Q: Q1) A discrete random variable x has the probability distribution p(X = k) for occurrence of x as…

A: We have given a discrete random variable.x       0  1    2   3  p(x)   k  2k 3k 4kWe have to…

Q: In a M/M/1 model, the average number of customers in the system is 14. Then, the probability that…

A: We have given that  Number of customers in the systems is (Ls)=14

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: a. Compute E(y) (to 1 decimal). b. Compute Var(y) and o (to 2 decimals). Var(y)

A:

Q: Fill out the black to make the given table below a probability distribution. X 0 123 4 P(x) 0.07…

A: we know that the sum of the valid probabilty distribution =1we can also say that ∑p(x)=1here we…

Q: Q4. The following table shows the probability mass function for the discrete random variable X: k 2…

A: