36-226 HOMEWORK 3 Solutions
Due: Friday 2/11/12 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
y
1
1. Let Yi Exp( ), i = 1, 2, ., n, independent. Then fY (y) = e where , y > 0.
Pn
(a) Show that X = i=1
36-226 HOMEWORK 1 Solutions
Due: Friday 1/27/12 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Probability: slightly altered Wackerly problem 2.74
In 2.74, well use the joint distribution results of
36-226 HOMEWORK 7 Solutions
Due: Friday 3/30/12 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Altered Wackerly 10.2
A drug company claims that their drug will induce sleep for 80% of people suering
36-226 HOMEWORK 8 Solutions
Due: Friday 4/13/12 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Weve dened the simple linear regression model as:
Yi = 0 + 1 Xi +
where E [ i ] = 0, Var[ i ] = 2 where
36-226 Introduction to Statistical Inference
Midterm 2 Solutions
April 5th, 2012
1. Returning to the power distribution from last time:
Let Y1 , Y2 , ., Yn be i.i.d. sample from fY (y ) = y 1 = y 1 where 0 y , > 0.
(a) Find E [Y ] and E [Y 2 ]. (8 pts)
E
36-226 HOMEWORK 4 Solutions
Due: Friday 2/18/12 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Back to Atlantic City: You have been re-hired by the tourism group to analyze visitor
satisfaction data
36-226 HOMEWORK 5 Solutions
Due: Friday 3/2/12 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Were interested in using the uniform distribution to estimate the delivery time of Jimmy
Johns to the CMU
36-226 HOMEWORK 9 Solutions
Due: Friday 4/27/12 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Returning to the relationship between amount of anchovies caught (tons) and the price
of sh meal (dollar
36-226 Introduction to Statistical Inference
Midterm 1 Solutions
February 24th, 2012
You must show all of your work and/or explain your steps in order to get full credit or be considered
for partial credit. This is a closed book/closed notes exam. You may
36-226 HOMEWORK 10 Solutions
Due: Friday 5/4/12 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Modied Wackerly, 14.4 Like Gareld, some people just hate Mondays. Research studies
have been done to det
36-226 HOMEWORK 6 Solutions
Due: Friday 3/23/12 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Show that each of the below distributions is part of the (one-parameter) exponential
family. Clearly spe
36-226 HOMEWORK 2 Solutions
Due: Friday 2/3/12 at 9:30am in class
Remember to show all work; just writing down the answer will not receive credit.
1. Let V Gamma(, ) where fV (v ) =
v
1
v 1 e
()
.
(a) Verify that the moment generating function mV (t) =