Exercise Solution 3.43

Based upon our work from the previous exercise and formula [3.181], calculate

• g^[0] = –23,
• g^[1] = 119.

By [3.183] and [3.184]

• E(Y) = g^[0] = –23,
• E(Y²) = g^[1] + g^[0]E(Y) = 648.

Applying the result of Exercise 3.15, the standard deviation of Y is

[s1]