4. Knowledge and Understanding Calculate a bin width that would form five uniform intervals for the following data. (a) 13, 7, 5, 7, 9, 10, 5, 11, 8, 7, 9, 10, 10, 11, 14, 10, 6, 12, 6, 9, 7, 12, 9, 10, 6 (b) 0.59, 0.46, 0.48, 0.52, 0.15, 0.60, 0.86, 0.55, 0.97, 0.86, 0.37, 0.70, 0.60, 0.34, 0.65, 0.94, 0.60, 0.35 (c) 186, 124, 196, 206, 148, 162, 144, 167, 184, 152, 182, 184, 127, 183, 179, 185, 170, 135, 141, 126, 157, 126, 206, 196, 185, 186, 117, 129, 155, 146 (d) 0.8, –0.8, 0.0, 0.8, 0.1, 0.5, 0.9, 0.4, 0.3, 1.1, –0.8, –0.2, –2.2, 0.8, 1.9, -1.9, 0.1, 1.3, 0.9, –0.1, 0.8, 1.6, 1.4, 0.4, –0.8, 0.5, –0.3, –1.0, 1.2, -0.4, –1.1, 0.0, 0.2, –1.7, –0.3, 0.1, –1.6, –1.8, -0.6, –0.9 5. Calculate the starting and ending point for each of the five intervals in Question 4.
4. Knowledge and Understanding Calculate a bin width that would form five uniform intervals for the following data. (a) 13, 7, 5, 7, 9, 10, 5, 11, 8, 7, 9, 10, 10, 11, 14, 10, 6, 12, 6, 9, 7, 12, 9, 10, 6 (b) 0.59, 0.46, 0.48, 0.52, 0.15, 0.60, 0.86, 0.55, 0.97, 0.86, 0.37, 0.70, 0.60, 0.34, 0.65, 0.94, 0.60, 0.35 (c) 186, 124, 196, 206, 148, 162, 144, 167, 184, 152, 182, 184, 127, 183, 179, 185, 170, 135, 141, 126, 157, 126, 206, 196, 185, 186, 117, 129, 155, 146 (d) 0.8, –0.8, 0.0, 0.8, 0.1, 0.5, 0.9, 0.4, 0.3, 1.1, –0.8, –0.2, –2.2, 0.8, 1.9, -1.9, 0.1, 1.3, 0.9, –0.1, 0.8, 1.6, 1.4, 0.4, –0.8, 0.5, –0.3, –1.0, 1.2, -0.4, –1.1, 0.0, 0.2, –1.7, –0.3, 0.1, –1.6, –1.8, -0.6, –0.9 5. Calculate the starting and ending point for each of the five intervals in Question 4.
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Calculate the starting and ending point for each of the five intervals in Question 4.

Transcribed Image Text:4. Knowledge and Understanding Calculate a bin width that would form
five uniform intervals for the following data.
(a) 13, 7, 5, 7, 9, 10, 5, 11, 8, 7, 9, 10, 10, 11, 14, 10, 6, 12, 6, 9, 7, 12, 9,
10, 6
(b) 0.59, 0.46, 0.48, 0.52, 0.15, 0.60, 0.86, 0.55, 0.97, 0.86, 0.37, 0.70,
0.60, 0.34, 0.65, 0.94, 0.60, 0.35
(c) 186, 124, 196, 206, 148, 162, 144, 167, 184, 152, 182, 184, 127, 183,
179, 185, 170, 135, 141, 126, 157, 126, 206, 196, 185, 186, 117, 129,
155, 146
(d) 0.8, –0.8, 0.0, 0.8, 0.1, 0.5, 0.9, 0.4, 0.3, 1.1, -0.8, –0.2, –2.2, 0.8,
1.9, -1.9, 0.1, 1.3, 0.9, –0.1, 0.8, 1.6, 1.4, 0.4, –0.8, 0.5, –0.3, –1.0,
1.2, -0.4, – 1.1, 0.0, 0.2, –1.7, -0.3, 0.1, –1.6, –1.8, –0.6, –0.9
5. Calculate the starting and ending point for each of the five intervals in
Question 4.
B
6. Use the intervals in Question 5 to create an appropriate histogram.
7. Application
(a) Construct an appropriate graphical display of the following informa-
tion from the Men's Professional Golf Association.
Rank
Name
Events Earnings ($)
Events Earnings ($)
Rank
Name
1
Tiger Woods
19
5 687 777
7
Scott Hoch
24
2 875 319
Phil Mickelson
23
4 403 883
8
David Duval
20
2 801 760
3
David Toms
28
3 791 595
9
Bob Estes
26
2 795 477
4
Vijay Singh
26
3 440 829
10
Scott Verplank
26
2 783 401
Davis Love IIl
20
3 169 463
11
Mike Weir
23
2 777 936
Sergio Garcia
18
2 898 635
12
Chris DiMarco
29
2 595 201
Source: CNN/Sports Illustrated
(b) The same information is given below for the Ladies' Professional
Golf Association. Construct a graphic representation of the two tables
that allows you to compare the winnings of the top 12 male and top
12 female golfers on tour.
Rank
Name
Events Earnings ($}
Rank
Name
Events Earnings ($)
1
Annika Sorenstam
26
Dottie Pepper
2 105 868
23
776 482
2
Se Ri Pak
21
1 623 009
8
Mi Hyun Kim
29
762 363
3
Karrie Webb
22
1 535 404
9
Laura Diaz
27
751 466
4
Lorie
22
947 489
10
Catriona Matthew
29
747 970
5
Maria Hjorth
29
848 195
11
Rachel Teske
27
713 129
6
Rosie Jones
23
785 010
12
Wendy Ward
26
686 906
Source: CNN/Sports Illustrated
3.1 GRAPHICAL DISPLAYS OF INFORMATION
147
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