7.5.2: Compute the variance of the probability distribution in the following
table:

Outcome | Probability
--------------------
  -1    |    1/8
  -1/2  |    3/8
   0    |    1/8
   1/2  |    1/8
   1    |    2/8


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7.5.2: Two golfers recorded their scores for 20 nine-hole rounds of golf.
Golfer A's scores were:

	39,39,40,40,40,40,40,40,41,41,41,41,41,41,41,42,43,43,43,44

Golfer B's scores were:

	40,40,40,41,41,41,41,42,42,42,42,42,43,43,43,43,43,43,44,44

(a) Compute the sample mean and variance of each golfer's scores.

(b) Who is the better golfer? (Note: the lower the score, the better.)

(c) Who is the more consistent golfer?


-------------------------------------


7.5.15: Suppose that a probability distribution has mean 17 and standard
deviation 0.2. Use the Chebyshev inequality to find the value of c for which
the probability that the outcome lies between 17 - c and 17 + c is at least
15/16.


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7.5.16: The probability distribution for the sum of numbers obtained by
tossing a pair of dice is given in the table below. 

(a) Compute the mean and the variance of this probability distribution.

(b) Using the table, give the probability that the number is between 4 and
10 inclusive. 

(c) Use the Chebyshev inequality to estimate the probability that the
number is between 4 and 10, inclusive.

Number    |    Probability
-------------------------
  2       |     1/36
  3       |     2/36
  4       |     3/36
  5       |     4/36
  6       |     5/36
  7       |     6/36
  8       |     5/36
  9       |     4/36
 10       |     3/36
 11       |     2/36
 12       |     1/36