Suppose X∼U(0, 1) and Z = 3X + 5 what is the distribution of Z?
a. U (0, 3)
b. U (0, 5)
c. U (5, 8)
d. U (5, 0)
Suppose X∼N(10, 25). What transformation formula should I use to get Z∼N(2, 36)?
a. Z = X*10 - 8
b. Z = X*11/2 - 4
c. Z = X*6/5 - 8
d. Z = X*6/5 - 10
Suppose X∼N(0, 15) and Y∼N(15, 20). I know that the sum of two normals is a normal. Therefore, Z = X+Y is also normal. What is the distribution of Z?
a. Z∼N(0, 20)
b. Z∼N(15, 20)
c. Z∼N(15, 35)
d. Z∼N(0, 35)