Stat 104 – Homework 4
Due Friday October 5, 2007
Reading:
September 25 – September 27
October 2 – October 4
Chapter 4
Chapter 5
Assignment:
1. Complete the following problems from the text: 4.10, 4.26, 4.40, 4.48, 4.66, 4.80,
4.96, 4.112, 4.122, and 4.128.
2. Problem 1 on Laboratory 4 looked at eye color and sex for students who took an
introductory statistics course. Below is a summary table of the data.
Female
Male
Total
Blue
313
310
623
Brown
290
240
530
Green
175
85
260
Hazel
156
135
291
Total
934
770
1704
If one student is chosen at random from the 1,704, what is the probability, round
to 3 decimal places, that:
a) the student has green eyes?
b) the student is a male?
c) the student has green or blue eyes?
d) the student is a female and has blue eyes?
e) the student is male or has brown eyes?
f) the student is a female given we know the person chosen has blue eyes?
g) the student has blue eyes given we know the person chosen is a male?
For each of the following questions, round probability calculations to 3 decimal
places.
h) Are the events brown eyes and hazel eyes mutually exclusive? Explain
briefly.
i) Are the events blue eyes and female mutually exclusive? Explain briefly.
j) Are the events blue eyes and female independent? Explain briefly.
k) Are the events brown eyes and male independent? Explain briefly.
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