Suppose a discrete random variable y has the mean E(Y)=5 and V(Y)=49. What is the value of V(-2Y+3)?
Now , V(-2Y+3)=V(-2Y)+V(3)=(-2)2V(Y)+0=4*49=196
Since , the variance of constant is 0. i.e. V(3)=0 and V(aY)=a2V(Y)
Suppose a discrete random variable y has the mean E(Y)=5 and V(Y)=49. What is the value...
X is a discrete random variable with E(X) = 1 and V(X)=1/4=0.25. Y is a discrete random variable with E(Y) = -1 and V(Y)=1/25=0.04. If X and Y are independent variables, what is the value of δ(X+Y)?
Let X and Y be independent random variables. Random variable X has a discrete uniform distribution over the set {1, 3} and Y has a discrete uniform distribution over the set {1, 2, 3}. Let V = X + Y and W = X − Y . (a) Find the PMFs for V and W. (b) Find mV and (c) Find E[V |W >0].
49. Suppose that N e Po(A) independent observations of a random variable, X, with mean 0 and variance 1, are is independent of X1, X2, ... . Show that performed. Moreover, assume that N X1X2 XN VN d N(0, 1) as
49. Suppose that N e Po(A) independent observations of a random variable, X, with mean 0 and variance 1, are is independent of X1, X2, ... . Show that performed. Moreover, assume that N X1X2 XN VN d N(0,...
(3) Suppose X and Y are discrete random variables. Show that E(X|Y) = E(X)Y*)
(3) Suppose X and Y are discrete random variables. Show that E(X|Y) = E(X)Y*)
Suppose a discrete random variable Y - the number of eggs purchased by the next customer to enter a certain supermarket has cdf: 3 F, (v)-P(Y s y)- 0sy s 96 у 96 Note that the trunc function simply removes any decimal places. Find: a) P(Y s 65)- b) P(Y 260)- d) P(Y-48)
Suppose a random variable has mean 10 and standard deviation 3. What is the value of the random variable which corresponds to a z-score of 2? SUBMIT ANSWER
Please answer both.
. Suppose that Y is a random variable with distribution function below. 1-e-v/2, 0, y > 0; otherwise F(y) = (a) Find the probability density function (pdf) f(y) of Y. yso (b) E(Y) and Var(Y) 5. Suppose X is a random variable with E(X) 5 and Var(X)-2. What is E(X)?
Suppose random variables X and Y are related as Y=7X+3. Suppose the random variable X has mean 1, and variance 1. What is the expected value of X+Y ? Solution provided is 11. How was this obtained?
5. A discrete random variable, X, has three possible results with the following probabilities: Pr [X 2 /3 No other results can occur. (a) Sketch a graph of the probability function (b) What is the mean or expected value of this random variable? (c) What are the variance and standard deviation of this random variable?
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 Find P(-1<=x<=1) Find P(x<2) Find the expected value (mean) of this discrete random variable. Find the variance of this discrete random variable