Question 4.139

4.139 A different transformation.

Refer to the previous exercise. Now let .

  1. Find the distribution of .
  2. Find the mean and standard deviation for the distribution of .
  3. Explain why the rules that you used for part (b) of the previous exercise do not work for this transformation.

4.139

(a)

Value of 2 14
Probability 0.4 0.6

S-14

(b) (c) There are no rules for a quadratic function of a random variable; we must use the definitions.