P6104: Homework 3
Fall 2016
Homework 3
Due Wednesday, September 28, 2016 at the end of class. Please be sure to show all work to receive full credit.
Rosner textbook: all problems 4.23, 4.30, 4.31, 4.32, 4.42-4.47, 4.71, 4.72, 4.73 in 8th edition
(4.25, 4

Recitation 1
September 13, 2016
1. The average weight (lbs) for U.S. females 20 and older is 164.7 lbs with a
standard deviation of 76.99 lbs. The average height (in) for U.S. females 20 and
older is 63.8 inches with a standard deviation of 4.18. Which is

Random variable: function that assigns numeric values to different events
in a sample space, denoted as X, Y, Z etc
Basically there are two types of random variables: Discrete random variables,
and Continuous random variables
Mixed type of random variable

P6104 Recitation 2 Solutions
3.12
Since P (A1 and A2) = 0.02 P(A1) * P(A2), they are not independent.
3.14
P (A2|A1) = P (A1 and A2)/P (A1) = 2%/10% = 20%
3.15
P (A2|A1C) = P (A2 and A1C)/ (1 P(A1) = 8%/90% = 8.89%
3.53
From the properties of independent

Conditional Probability
Basically, it is about changes of the population (sample space) and probability
structure should be changed accordingly.
Example: Physicians recommend that all women over age 50 be screened
for breast cancer. The definitive test fo

P6104 1st Recitation
September 13, 2016
1
The average weight (lbs) for U.S. females 20 and older is 164.7 lbs with a standard deviation of 76.99
lbs. The average height (in) for U.S. females 20 and older is 63.8 inches with a standard deviation
of 4.28. W

Linear Transformations of the data:
Example: Consider the five following heights (in inches): 63 65 69 72 74
Mean:
Median:
Variance:
Standard Deviation:
Example: Assume now that the ruler was broken and all of the heights were
overestimated by 2 inches. R

P6104: Homework 1
Fall 2016
Homework 1
Due Wednesday, September 15, 2016 at the end of class. Please be sure to show all work to receive full credit.
Be sure to label your graphs appropriately.
1. A study was conducted investigating the long-term prognosi