Stat 104 – Homework 4

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Stat 104 – Homework 4
Due Friday October 17, 2008
Reading:
September 30 – October 2
October 7 – October 9
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, report
as a fraction and then round to 2 decimal places, that:
a) the student has blue eyes?
b) the student is a female?
c) the student has brown or blue eyes?
d) the student is a male and has green eyes?
e) the student is female or has hazel eyes?
f) the student is a male given we know the person chosen has blue eyes?
g) the student has blue eyes given we know the person chosen is a male?
h) Are the events blue eyes and green eyes mutually exclusive? Explain
briefly.
i) Are the events hazel eyes and male mutually exclusive? Explain briefly.
j) Are the events green eyes and male independent? Explain briefly.
k) Are the events brown eyes and female independent? Explain briefly.
1
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