7. A discrete random variable Y has the following probability distribution. Y=y P(Y=y) 1 1/8 where k is a constant. a) Find the value of k. b) Find P(Y≤4). c) Find P(Y>3). 2 3 4 5 1/4 1/3 k 1/8

Q: a) Find the value of k, b) Form the table of probability distribution of X, c) Find the mean and…

A: here given discrete probability distribution of x p(x) = kx2    for x= 1,2,3,4 here use total…

Q: 6.The data show the results when a student tosses a coin 2020 times and records whether it shows…

A: Given that, the data show the results when a student tosses a coin 2020 times and records whether it…

Q: Exercise 4. Let = {a,b,c,d} and define a probability measure on 22 by P(a) = P(c) = 1/6 and P(b) =…

A: c) To verify that E(X|Y) is a function of Y, we need to show that the value of E(X|Y) only depends…

Q: Let X be a random variable with the following probability distribution: X = -3 6. 1 p(x) = x = 6 x =…

A:

Q: Question 2 et Y~ B(n = 2,p=0.5). 1. Construct the probability distribution table for Y. k P(Y = k) =…

A: Given that  Y~binomial (n,p) n=2 , p=0.5

Q: 6. A discrete random variable can assume 5 possible values, as listed in the accompanying…

A:

Q: Consider the following probability distribution where random variable X denotes the number of cups…

A: Given data is  x 0 1 2 3 4 5 P(x) 0.35 0.40 0.16   0.02 0.02

Q: d) Are X and Y independent? e) Find E(X) and E(Y), Var(X) and Var(Y). f) Find the correlation…

A: The joint probability distribution is given as follows: 12310.10.10.1520.050.050.230.150.10.1

Q: Please show work. X and Y are two discrete random variables having the joint probability…

A: Cov(X,Y)=E(XY)-E(X)E(Y)corr(X,Y)=Cov(X,Y)V(X)V(Y)

Q: Find the value of p and work out P(2< X <5).

A:

Q: A discrete random variable Y has the following probability distribution.   Y=y 1 2 3 4 5…

A: YP(Y=y)11/821/431/34K51/8

Q: Exercise 4. Let = {a,b,c,d} and define a probability measure on 222 by P(a) = P(c) = 1/6 and P(b) =…

A: a) To list all sets in σ(Y), we need to consider all possible events that can be formed from Y.…

Q: Let X be a discrete random variable with probability function f(x) = P(X= x) = (1-p)p-2 for x = 2,…

A: a) To find P(X&gt;4), we need to sum the probabilities of all possible values of X that are greater…

Q: 0 | 2 6 P(X = x) a a Hallar P(2 < X < 4):

A: From the information, given that Let X denotes the discrete random variable with distribution given…