64. Let Z1, Z2, . . . , Z10 be independent standard normal.

Use these to construct

a. A random variable

b. A t4 random variable

c. An F4,6 random variable

d. A Cauchy random variable

e. An exponential random variable with mean 2

f. An exponential random variable with mean 1 g. A gamma random variable with mean 1 and variance

(Hint: Use part

(a) and Exercise 63.)