4. Probability Distributions: Practical 4
Combinations of random variables
Generate two random variables #X1# and #X2# from two independent normal distributions #N(-1, 2)# and #N(6, 1)#. Take #n = 10# for both variables. Next, create a variable #Y = 2X1 - 5X2#.
Calculate the mean and variance for the combined variable #Y# by applying the theoretical equations for combining random variables and the values for the population parameters of #X1# and #X2#.
| The theoretical mean of #Y# is |
| The theoretical variance of #Y# is |
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