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NEW QUESTION: 1
A random variable, X, has a mean of 10 and a standard deviation of 15. Another random variable, Y, is defined by Y = 2X + 3. Then, which of the following is/are true? I The mean of Y is 33. II. The variance of Y is 30. III. The standard deviation of Y is 33. IV. X and Y are perfectly correlated.
A. I only
B. II and IV
C. II only
D. III only
E. I, II and IV
F. IV only
G. III and IV
Answer: F
Explanation:
Explanation/Reference:
Explanation:
The mean of Y is 2*10 + 3 = 23. The standard deviation of Y is 2*15 = 30. Its variance is then equal to
30