STAT 452/652 Spring 2013
HW 1
Random variables, expected value, moments, CLT
1. Find (derive) the expected value for the following distributions:
a. Bernoulli
b. Binomial
c. Poisson
d. Geometric (652 only)
e. Exponential
f. Normal (652 only)
g. Pareto (cd
STAT 452/652 Spring 2013
HW 5
Pearsons coefficient of correlation
Problems 1-6
Exercise 1-6, Section 7.1 for Pearsons coefficient of correlation.
2
4
6
y
8
10
12
Problem 7
Two coefficients of correlation have been computed for the data set in the figure b
STAT 452/652 Spring 2013
HW 2
ECDF, Quantile function, rvs generation, probability plots, QQ plots
Problem 1
Write the formula for the empirical cdf for the following data set: Xi = cfw_0, -1, 5, 2. Use
Minitab to plot this function and check that your re
STAT 452/652 Spring 2013
HW 6
Coefficients of correlation
Problem 1
Evaluate (visually) Pearson, Kendall, and Spearman coefficients of correlation for the
data sets below. Explain your answers.
B
C
0
y
4
-4
-2
0
-4
2
-2
-2
y
x
6
0
8
2
2
10
A
0
2
4
6
8
-4
STAT 452/652 Spring 2013
HW 4
Problem 1
Compute the Kendalls coefficient of correlation for the following data sets
a)
X
Y
1
2
2
4
3
3
4
1
X
Y
3.4
4.5
6.2
45
3.17
3.1
2.4
1.7
b)
Problem 2
The Kendalls coefficient of correlation for the following data set