STAT 220: Basic Statistics for Quantitative Students
Spring 2006
Assignment due Mar. 17
Type or write your answers to the following questions to turn in on Mar. 17 in class.
As always, show all your work.
- Do exercises 10, 21, 22, 36, 46, and 78 in Chapter 8.
- Suppose that a random variable X has cdf given by the function
F(k) = sqrt(k) for values of k between 0 and 1. (And F(k)=0 for negative k,
and F(k)=1 for k greater than 1.)
Find the expectation and standard deviation of X. Show all your work.
- Suppose that a continuous random variable Y has pdf that is equal
to f(k) = c(k)(k-1) for some constant c and for all k in the interval
(1,3). Assume that the pdf is zero outside the interval (1,3).
First, find the value of c. Then, calculate E(Y). Show all your work.
If you would like to see a couple of worked examples that are similar
to questions (A) and (B), take a look at
these.
As always, email me if you have questions.