Percentage points of the the standard normal, 1; and X2 distribution appear on the
Appendix 3 of the textbook.
Question 1
A _ n~3 _ a2 n _ 3 _
13(6) Ego/141)?) " E<2(mi7)2>
COMMON DISTRIBUTIONS
Discrete
pmf
Mean
Binomial
p(y) =
0 < p < 1, n = 1, 2,
y = 0, 1, , n
Geometric
p(y) = p(1 p)y1
0<p<1
y = 1, 2,
Negative Binomial
p(y) =
0 < p < 1, r = 1, 2,
y = r, r + 1, r + 2
STAT 417 ASSIGNMENT 4
Read WMS Sections 9.1 to 9.3. Also read Section 7.3 on the Central Limit Theorem. Key
ideas are convergence in probability and the law of large numbers, denition of a consistent
STAT 417 ASSIGNMENT 3
Read WMS Sections 8.3 to 8.6, 8.8, and 8.9.
1. Y1 , Y2 , . . . , Yn are a random sample from a normal distribution with unknown and .
We know that the quantity
(Yi Y )2
(n 1)S 2
STAT 417 ASSIGNMENT 2
Read WMS Sections 7.1, 7.2, 8.1, and 8.2.
1. Suppose that Z1 and Z2 are independent standard normal N (0, 1) random variables.
What is the distribution of
Z1 + Z2
W =
2
2. Suppo
STAT 417 ASSIGNMENT 1
1. WMS Exercise 6.1.
Let Y be a random variable with probability density function given by f (y) = 2(1 y),
0 y 1, 0 otherwise.
a. Find the density function of U1 = 2Y 1.
b. Find
STAT 417 ASSIGNMENT 1
Read WMS Sections 6.1, 6.2, 6.3, 6.4(pages 310313 only), and 6.5. This reviews material
from STAT 416. In addition, review carefully the background for any techniques that seem
u