Last update: 20-Nov-2014

**Homework
Assignments**

Due Sep
3: Ch 2: 9, 13, 14, 17

Due Sep
8: Ch 2:

29 Two
additional jurors ..

37 A
businesswoman in Philadelphia …

41 How many
different seven-digit …

55 A study
is to be conducted in a hospital …

59 Five
cards are dealt from …

a.
3 aces and 2 kings

b.
“full house”

76 A survey
of consumers …10% were

Due Sep
15: Ch 2:

71 If two
events A and B are such that P(A)=.5..

73 Gregor
Mendel was a monk…

75 Cards
are dealt, one at a time, …

85 If A and
B are independent events. Show the A and B(bar) …

90 Suppose
that there is a 1 in 50 chance…

93 In a
game, a participant is given three attempt …

Due Sep
22: Ch 2:

125 A
diagnostic test for a disease…

133 A
student answers a multiple-choice examination…

137 Five
identical bowls…

Ch 3:

3 A group
of four components…

5 A problem
in a test…

9 In order
to verify…

Due Sep
29: Ch 3:

37 In 2003,
the average combined SAT

39 A
complex electronic system

41 A
multiple-choice examination

53
Tay-Sachs disease

59 Ten
motors are packaged

Due Oct
6: Ch3:

127 The
number of typing errors…

131 The
number of knots…

187
Consider the following game…

193 Two
assembly lines I and II have the same

OK I got
a copy of the 7^{th} edition.
Here’s the assigned homework as I wrote it on the board in class:

Oct 20:
Ch 3:

103 A
warehouse contains ten printing machines

105 In
southern California, a growing number

109 Seed
are often treated with fungicides

115 Suppose
that a radio contains six transitors

119 Cards
are dealt … all 4 aces if it is known … at least 3 aces?

Ch 4:

11 Suppose
that Y .. density function f(y)=cy, 0<=y<=2

15 As a
measure of intelligence

21 If, as
in Ex…, Y has density function f(y)=(3/2)y^2+y, 0<=y<=1, find mean and
variance of Y

Oct 27
Ch 4:

21 Same as
above

31 Daily total
solar radiation…

39 If a
parachutist lands at a random point…

51 The
cycle time for trucks hauling..

58 Use
Table 4, Appendix 3, to find …. a. P(0<=Z<=1.2), b. …

I DON’T
HAVE THE 7^{TH} EDITION OF THE TEXTBOOK HOME SO THE FOLLOWING

IS A
LIST OF HOMEWORK PROBLEMS FROM THE 6^{TH} ED AS BEST I CAN REMEMBER

WHICH
WERE ASSIGNED.

Ch4: As a measure of intelligence, mice …
f(y)=b/y^2 …

Suppose
that Y has density function f(y)=ky(1-y), 0 <=y<=1.

A
parachutist lands

A telephone
call arrived at a switchboard…

The cycle
time for trucks hauling concrete…

Use Table
4, Appendix III to find the following…for a standard normal r.v.

a. P(0<=Z<=1.2)

b. …

Find the value of z0 such that P(Z>z0)=.5

…

A company that manufacture and bottles apple juice..

The grade point averages of a large population of college
students … with mean 2.4 and standard deviation 0.8. What fraction … grade point average in excess of 3.0?

Exam 2
on Oct 29 will cover 3.5 (geometric), 3.7 (hypergeometric), 3.8 (Poisson),
4.1-4.5. I will supply formulas
for the probability and density functions for these random variables and the
Z-table.

Nov 3:
Ch 4:

91 The
operator of a pumping station

93a
Historical evidence indicates that times between fatal accidents

97 A
manufacturing plant uses a specific bulk produce.

104 The
lifetime (in hours) Y of an electronic component is a random

f(y)=(1/100)e^(-y/100),
y>0

Nov 10:
Ch 5:

1 Contracts
for two construction jobs

3 Of nine
executives in a business firm, four are married,

5 Refer to
Example 5.4. The joint density of Y1, the proportion of the capacity..

and
Y2, the proportion of the capacity

7 Let Y1
and Y2 have joint probability density function given by

f(y1,y2)=ky1y2,
0<=y1<=1, 0<=y2<=1

11 Suppose
that Y1 and Y2 are uniformaly distributed over the triangle shade in …

Nov 17:
Ch 5:

16a Let Y1
and Y2 denote the proportions of time (out of one workday) ..

18 An
electronic system has one each of two different types of components in joint
operation.

19 In
exercise 5.1, we determined that the joint distribution of Y1, the number of
contracts awarded

26 In
Exercise 5.8, we derived the fact that

f(y1,y2)=4y1y2,
)<=y1<=1, 0<=y2<=1

=0
else

is
a valid ..

37 In
Exercise 5.18, Y1 and Y2 denoted the lengths of life, in hundreds of hours, for
..types I and II..

Nov 24:
Read Section 5.4, Independent Random Variables—especially Theorem 5.4.

Ch5: 51a
In exercise 5.7, we considered … f(y1,y2)=e^-(y1+y1), y1>0, y2>0

52 In Exercise 5.8, we derived…

f(y1,y2),
0<=y1<=1, 0<=y2<=1

61 In Exercise 5.18, … lengths of life, … types I and II …f(y1,y2)=(1/8)y1e^-(y1+y2)/2

73 In Exercise 5.3 …number of married executives …where
0<=y1<=3, 0<=y2<=3, 1<=Y1+y2<=3.

Find the expectednumber of
married execs. Among the three selected …

75a Refer … Let …f(y1,y2)=e^-(y1+y2), y1>0, y2>0

76a,c In Exercise 5.8, we … f(y1,y2)=4y1y2,
)<=y1<=1, 0<=y2<=1

Exam 3
on Nov 26 will cover sections 4.6 (Exponential distribution only), 5.1, 2, 3, 4,
5.