Let X be a random variable having expected value (mu) and variance (sigma)^2. Find the expected value and variance of:
Y = (X - mu)/(sigma).
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Expected values are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

Regulators have found that 23 of the 68 investment companies that filed for bankruptcy in the past five years failed because of fraud, not for reasons related to the economy. Suppose that nine additional firms will be added to the bankruptcy rolls during the next quarter. How many of those failures are likely to be attribute to

Which of the following are continuous randomvariables?
I. the weight of an elephant
II. the time to answer a questionnaire
III. the number of floors in a skyscraper

Let X equal an integer selected at random from the first m positive integer, {1, 2, ..., m}.
(a) Give the values of E(X) and Var(X).
(b) Find the value of m for which E(X)=Var(X). (See Zerger in the references)

Suppose you want to sell your house and you have decided to accept the first offer exceeding M dollars, say. Assume that the offers are i.i.d. with common distribution F. Find the expected number of offers received before selling the house.
I do not really know how to start the problem. I expect that I have to use either the

Consider two normally distributed randomvariables, X and Y, such that
Mean x= 2 and standard dev. x = 5
Mean y= 2 and standard dev. y = 1
In other words, both variables have the same mean but different standard deviations. Draw rough sketches of the two normal curves on the same graph. BE SURE TO LABEL YOUR CURVES. P

I am having trouble with some estimators. I have defined a random variable Z such that Z=Y/X, where X and Y are randomvariables. I know that E(Y given X)=theta*X, where theta is an unknown parameter. I have worked out that E(Z)=theta.
Now I am having trouble with an estimator defined as W=Ybar/Xbar, where Ybar and Xbar refer

Two stores A and B, which belong to (be same owner, are located in two different shopping centers. If X and Y, in thousands of dollars. are the profit made by each store in any week, the joint probability density function of these two randomvariables is given by
....
a) Find the value of...
b) Find the marginal probability d