Question 4.138

4.138 Work with a transformation.

Here is a probability distribution for a random variable :

Value of 1 2
Probability 0.4 0.6
  1. Find the mean and the standard deviation of this distribution.
  2. Let . Use the rules for means and variances to find the mean and the standard deviation of the distribution of .
  3. For part (b), give the rules that you used to find your answer.