Every
home football game for the past eight years at Eastern State
University has been sold out. The revenues from ticket sales are
significant, but the sale
                    of
food, beverages, and souvenirs has contributed greatly to the
overall profitability of the football program. One particular
souvenir is the football program
                    for
each game. The number of programs sold at each game is described by
the following probability distribution:
                

                    NUMBER
(IN 100s) OF
                    PROGRAMS
SOLD PROBABILITY
                    23
0.15
                    24
0.22
                    25
0.24
                    26
0.21
                    27
0.18
                

                    Historically,
Eastern has never sold fewer than 2,300 programs or more than 2,700
programs at one game. Each program costs $0.80 to produce and sells
for
                    $2.00.
Any programs that are not sold are donated to a recycling center
and do not produce any revenue.
                

                    (a)
Simulate the sales of programs at 10 football games. Use the last
column in the random number table (Table 14.4) and begin at the top
of the column.
                

                    (b)
If the university decided to print 2,500 programs for each game,
what would the average profits be for the 10 games simulated in
part (a)?
                

                    (c)
If the university decided to print 2,600 programs for each game,
what would the average profits be for the 10 games simulated in
part (a)?
                

                    Table
14.4:
                

                
                    52
06 50 88 53 30 10 47 99 37 66 91 35 32 00 84 57 07
                    37
63 28 02 74 35 24 03 29 60 74 85 90 73 59 55 17 60
                    82
57 68 28 05 94 03 11 27 79 90 87 92 41 09 25 36 77
                    69
02 36 49 71 99 32 10 75 21 95 90 94 38 97 71 72 49
                    98
94 90 36 06 78 23 67 89 85 29 21 25 73 69 34 85 76
                    96
52 62 87 49 56 59 23 78 71 72 90 57 01 98 57 31 95
                    33
69 27 21 11 60 95 89 68 48 17 89 34 09 93 50 44 51
                    50
33 50 95 13 44 34 62 64 39 55 29 30 64 49 44 30 16
                    88
32 18 50 62 57 34 56 62 31 15 40 90 34 51 95 26 14
                    90
30 36 24 69 82 51 74 30 35 36 85 01 55 92 64 09 85
                    50
48 61 18 85 23 08 54 17 12 80 69 24 84 92 16 49 59
                    27
88 21 62 69 64 48 31 12 73 02 68 00 16 16 46 13 85
                    45
14 46 32 13 49 66 62 74 41 86 98 92 98 84 54 33 40
                    81
02 01 78 82 74 97 37 45 31 94 99 42 49 27 64 89 42
                    66
83 14 74 27 76 03 33 11 97 59 81 72 00 64 61 13 52
                    74
05 81 82 93 09 96 33 52 78 13 06 28 30 94 23 37 39
                    30
34 87 01 74 11 46 82 59 94 25 34 32 23 17 01 58 73
                    59
55 72 33 62 13 74 68 22 44 42 09 32 46 71 79 45 89
                    67
09 80 98 99 25 77 50 03 32 36 63 65 75 94 19 95 88
                    60
77 46 63 71 69 44 22 03 85 14 48 69 13 30 50 33 24
                    60
08 19 29 36 72 30 27 50 64 85 72 75 29 87 05 75 01
                    80
45 86 99 02 34 87 08 86 84 49 76 24 08 01 86 29 11
                    53
84 49 63 26 65 72 84 85 63 26 02 75 26 92 62 40 67
                    69
84 12 94 51 36 17 02 15 29 16 52 56 43 26 22 08 62
                    37
77 13 10 02 18 31 19 32 85 31 94 81 43 31 58 33 51