# Let Z 1 , Z 2 , , Z 10 be independent standard normal. Use these to

## Question:

Let Z_{1}, Z_{2}, …, Z_{10} be independent standard normal. Use these to construct

a. A χ^{2}_{4} random variable.

b. A t_{4 }random variable.

c. An F_{4.6} 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 1/2.

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**Related Book For**

## Modern Mathematical Statistics With Applications

**ISBN:** 9783030551551

3rd Edition

**Authors:** Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton