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Homework, STAT 400-0401, Fall 2003

Note! For every section in the text we cover -- the main part of your
homework is to read that section.

Homework is due in class on the day given. You
are welcome and encouraged to help each other in solving the
problems, but for homework which is turned in,
you must write your own solutions. You can examine
each other's solutions, but when you write a solution you
must write it without copying. Your solution should give a
clear indication of how you came to your answer.

Most homework is from our text,

Jay L. Devore,
*
Probability and Statistics for Engineering and the Sciences,
*
6th edition (Wadsworth, Belmont, CA, 2000).

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Homework Assignment 1

*
Due Friday Feb. 6
*

*Section 1.2*: 17ac

*Section 1.3*: 33ab, 41, 42

*Section 2.1*: 3, 6, 9

*Section 2.2*: 11, 13, 21, 22, 26

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Homework Assignment 2

*
Due Friday Feb. 13
*

*Section 2.3*: 33, 39, 40,43

*Section 2.4:* 45, 46, 51, 60, 62, 64

*Ch. 2 Supplementary excercises:* 98, 103ab

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Homework Assignment 3

*
Due Wednesday Feb. 18
*

*Ch. 2 Supplementary excercises:* 99, 105

*Section 2.5*: 72, 75, 78

*Section 3.1*: 2, 7
*Section 3.2*: 11, 12a, 13, 14a, 15, 18, 23

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Also: do the following problems from Sec. 3.3 by Friday Feb. 20,
but do not hand them in.

(Section 3.3 is part of what will be covered
on Midterm 1, Monday Feb. 23.)

*Section 3.3*: 28, 29, 32, 34, 37, 42, 43a

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Homework Assignment 4

*
Due Friday, March 5
*

*
Problem A*:

Joe will roll a pair of dice until he
rolls a 7 (i.e., the numbers on the two dice sum
to 7).

Let $X$ be the number of times he will roll
without getting a 7.

(For example, if on the third
roll Joe first rolls 7, then $X=2$.)

What is the expected value of $X$?

[Hint: Recall 1 + x + x^2 + x^3 + ... = 1/(1-x), if |x|<1.
Now take the derivative of both sides.]

*Section 3.4*: 45, 46, 47, 49, 51, 61, 62

*Section 3.5*: 64,70

*Section 3.6*: 76, 77, 79, 81, 83

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Homework Assignment 5

*
Due Monday March 15
*

*Section 4.1*: 1, 2, 6, 7

*Section 4.2*: 11, 18, 21, 23

*Section 4.3*: 26cdj, 27abd, 29b, 30bc, 35a,37,39,51

Also: by Wed. March 17 do the following problems from Sec. 4.4,
but do not hand them in. Section 4.4 is part of what will be covered
on Midterm 2, Friday March 19.
In Section 4.4, we will only cover the exponential distribution.

*Section 4.4*: 59, 61, 63

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Homework Assignment 6

*
Due Monday, April 5
*

*Section 5.1*: 3, 4, 10, 12, 13, 15, 17

(Show enough work that I can see the logic behind
the numerical answer--especially when the answer
is in the back of the book.)
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Homework Assignment 7

*
Due Monday, April 12
*

*Section 5.2*: 24, 25,
27 (In #27, to compute the appropriate integral involving |X-Y|,
split the square into pieces where X-Y is positive
or negative.),
35

*Section 5.3*: 38

*Section 5.4*: 46, 47, 53 [In #53b, do not assume the hardness
of pins has a normal distribution, and justify the approximation.]

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Homework Assignment 8

*
Due Monday, April 19
*

*Section 5.5*: 59, 64 69

*Section 6.1*: 1abcd, 9, 13, 14

*Section 6.2*: 22, 25a

Also: do, but don't hand in, the following:
*Supplementary Exercises*: 31, 32

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Homework Assignment 9

*
Due Wednesday, May 5
*

(Remember to show enough work that I can follow
your logic.)

*Section 7.1*: 1bc, 2, 3, 4abe, 7, 11

*Section 7.2*: 12, 13,
15ab,17,19, 25

*Section 7.3*: 30acef, 32, 37

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Homework from Chapter 8

(preparation for Exam 4--do not turn in)

*Section 8.1*: 1-5,7,9

*Section 8.2*: 15a,19,28

*Section 8.3*: 37,38

*Section 8.4*: 45ad

[Above, for the hypothesis test questions
19, 28, 37, 38: give hypotheses, test statistic, significance level,
rejection region; evaluate the test statistic for the data;
give your conclusion; and compute the P-value as in Sec. 8.4]

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