Suppose xsimu0 1 and z 3x 5 what is the distribution of, Ask an Expert

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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)

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