Stat 322 - Homework 1
Maximum score: 20 points; due Monday, January 27, 2014
1
Broken Components
Four components are inspected (each component can be defective or non-defective) and three
events are dened as follows:
A : all four components are found to b
Stat 322
Review Problems for Exam II
1. Suppose that X and Y have a joint probability density function (pdf)
f (x, y) =
3
(x2
2
0
+ y 2 ) for 0 < x < 1 and 0 < y < 1,
otherwise.
(a) Find the marginal pdf of Y .
(b) Find the expected value of Y .
(c) Find
Stat 322 - Homework 10
Maximum score: 20 points; due Friday, April 25, 2014
1
Solar Energy Collector
Two dierent congurations for a solar energy collector are tested 30 times each over a period
of ten sunny days. Some summary statistics for the resulting
Stat 322 - Homework 8
Maximum score: 20 points; due Monday, April 7, 2014
1
Signal Transmissions
Binary signals are transmitted at a constant rate of 1000 per second. Suppose that transmission errors occur independently with a probability of p = 0.001.
(a
Stat 322 - Homework 6
Maximum score: 20 points; due Monday, March 10, 2014
1
1100 Club for Pumpkin Growers
Todd Holland from New York grows pumpkins. He studied his past records carefully and
concluded that the weights of his biggest pumpkins are distribu
Stat 322
Review Problems solution for Exam II
1. Suppose that X and Y have a joint probability density function (pdf)
f (x, y) =
3
(x2
2
0
+ y 2 ) for 0 < x < 1 and 0 < y < 1,
otherwise.
(a) Find the marginal pdf of Y .
1 3
3
1
3
fY (y) = f (x, y)dx = 0 2
Stat 322 - Homework 2
Maximum score: 20 points; due Monday, Feb 3, 2014
1
System Reliability
Find the probability that the following ve-component system works (i.e., there is an unbroken path from A to B). The number on top of each component gives the pro
Stat 322 - Homework 3
Maximum score: 20 points; due Monday, Feb 10, 2014
1
Driving Test
An individual repeatedly attempts to pass a driving test. Suppose that the probability
of passing the test with each attempt is 0.25, and that the results of successiv
Stat 322
Review Problems for the Final Exam
Additional Review Problems: Exams 1 and 2, Review Problems for Exams 1 and 2.(There may be
a few True or False problems that related to some basic statistic concepts or assumptions that have
been stressed during
Stat 322
Review Problems for the Final Exam
Additional Review Problems: Exams 1 and 2, Review Problems for Exams 1 and 2.(There may be
a few True or False problems that related to some basic statistic concepts or assumptions that have
been stressed during
Stat 322
Practice Problems for Exam I
1. A construction rm is working on both Engineering and Science buildings for a university. Let A = cfw_Engineering building is completed by the contract date and
B = cfw_Science building is completed by the contract
Stat 322 - Homework 4
Maximum score: 20 points; due Monday, February 17, 2014
1
Snow in October
Suppose that the probability that a blizzard will occur in Iowa on any particular day starting
from October 1 is 0.1. For simplicity, assume for the following
Stat 322 - Homework 5
Maximum score: 20 points; due Monday, March 3, 2014
1
Random Numbers
When you generate a random number using your calculator, the random number you get is
a realization of a uniform (0, 1) random variable. Suppose 60 people in Stat 3
Stat 322 - Homework 7
Maximum score: 20 points; due Monday, March 24, 2014
1
Apple-Tree Farm
Able and Baker are both apple-tree farmers (they grow apple trees). Assume that apple
trees grow according to a normal distribution. On the Able Farm, trees grow
Stat 322 - Homework 9
Maximum score: 20 points; due Monday, April 14, 2014
1
Weld Breaking Strength
In an inertia welding experiment, a sample of 50 welds were tested. The sample mean and
sample standard deviation of the breaking strengths of these welds