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Expected value and variance for Gamma and Log-Gamma distribution.
A random variable Y is said to have a log-gamma distribution if X = ln(Y) is a Gamma (alpha, beta) random variable.
Find the E(Y) and the Var(Y). Show all work.
Statistics and Probability, Statistics
A multiple-choice test consists of 7 questions. Each question has answer choices of a, b, c, and d, and only one of the choices is correct. If a student randomly guesses on each question, what is the probability that she ...
1. What are the four basic goals of behavioral research? 2. Distinguish between basic and applied research. In what ways are basic and applied research interdependent?
At a school pep rally, a group of sophomore students organized a free raffle for prizes. They claim that they put the names of all the students in the school in the basket and that they randomly drew 36 names out of this ...
Using "size" as the independent variable and "cost" as the dependent variable, draw a scatter plot. b. Does it appear from inspection that there is a relationship between the variables? Why or why not? c. Calculate the l ...
Suppose there are three bills in a wallet. One of the bills is a $1 bill, one is a $5 bill, and the third is a $10 bill. You select two bills at random without replacement from the wallet, and note the value of the bills ...
The manager of The Cheesecake Factory in Boston reports that on six randomly selected weekdays, the number of customers served was 120, 130, 100, 205, 185, and 220. She believes that the number of customers served on wee ...
Restate each of the following research questions as questions about behavioral variability. a. Does eating too much sugar increase children's activity level? b. Do continuous reinforcement schedules result in faster lear ...
Suppose that the number of men equals the number of women, and that Vera is last on the preference list of every man. Prove that under every stable matching, Vera is matched to the same man. Who is the unlucky guy?
A teacher rated the reading ability level of six fourth grade children in a special math program. The reading level ratings were as follows: 3, 3, 2, 8, 4, and 4. a. Compute the mean, variance, and standard deviation (by ...
1. In an experiment with two independent variables, an ANOVA partitions the total variance into four components. What are they? 2. MS wg appears in the denominator of every F-test. Why?
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