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Probability & Statistics Exercises
Mathematics 107
due May 3, 2012
7.
(a) One plays a game with a probability of 3/1000 of winning $500, a probability of 1/100
of winning $20, and a probability of 987/1000 of losing $2. Calculate the expected value of
the winnings at this game.
(b) Calculate the amount a player should lose if the game is to be fair, with the winnings
and the probabilities as in part (a).
8. A small college has the following distribution of student ages:
age frequency
16
20
17
50
18
100
19
400
20
500
• draw a bar graph for the ages
• calculate the mode, median, and mean age.
• calculate the standard deviation of the ages.
9. Circle the three topics which are of most interest to you to discuss in class:
• linear, quadratic, and exponential algebraic models (Chapter 6)
• fractals ( 7.6 )
• mathematics and music
• trigonometry (Chapter 8)
• finance (Chapter 9)
• calculus overview ( 10.1, 10.2 )
• apportionment & linear programming ( 10.5, 10.6 )