a. Generate samples of size 25, 50, and 100 from a normal distribution. Construct probability plots. Do this several times to get an idea of how probability plots behave when the underlying distribution is really normal.
b. Repeat part (a) for a chi-square distribution with 10 df.
c. Repeat part (a) for Y = Z/U, where Z ∼ N(0, 1) and U ∼ U[0, 1] and Z and U are independent.
d. Repeat part (a) for a uniform distribution.
e. Repeat part (a) for an exponential distribution.
f. Can you distinguish between the normal distribution of part (a) and the subsequent nonnormal distributions?
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