The amount of soda dispensed by a soda machine is normally distributed with = 2 ounces.

1. (a) If n = 9 cups are randomly selected from the output of the machine, what is P (|X | 0.3)?
2. (b) Find P (|X | 0.3) when X is to be computed using samples of sizes n = 25, n = 36, n = 49, n = 64.
3. (c) What pattern do you observe among the values for P (|X | 0.3) that you observed for various values of n?
4. (d) Compute P (|X | 0.3) when = 1 and n = 9. How does this probability compares to the probability obtained in part (a) (where = 2)?

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