1)

\fLet X be a random variable from a Chi-Square Distribution with 10 degrees of freedom. Alejandra is interested in the random variable Y = {IX + b. She knows that E(Y} = 23 and VIC?) = 80. What are all possible values of o and b that satisfyr this criteria? Write your answer as an ordered pair, {-11, ii). If there are multiple solutions, separate the ordered pairs by a comma. [1 Hint: Use properties of expected value and variance to find a and b