Consider the finite sequence of random values X = [x1, x2, ... , xn]. Let μx be the mean and σx be the standard deviation of X. Let another finite sequence Y of equal length be derived from this as yi = a ∗ xi + b, where a and b are positive constant. Let μy be the mean and σy be the standard deviation of this sequence. Which one of the following statements INCORRECT?
A. Index position of mode of X in X is the same as the index position of mode of Y in Y
B. Index position of median of X in X is the same as the index position of median of Y in Y
C. μy = aμx + b
D. σy = aσx + b
Answer: Option D
This Question Belongs to Engineering Maths >> Probability And Statistics
Related Questions on Probability and Statistics
A coin is tossed 4 times. What is the probability of getting heads exactly 3 times?
A. $$\frac{1}{4}$$
B. $$\frac{3}{8}$$
C. $$\frac{1}{2}$$
D. $$\frac{3}{4}$$
A. 1 and $$\frac{1}{3}$$
B. $$\frac{1}{3}$$ and 1
C. 1 and $$\frac{4}{3}$$
D. $$\frac{1}{3}$$ and $$\frac{4}{3}$$
A. E(XY) = E(X) E(Y)
B. Cov (X, Y) = 0
C. Var (X + Y) = Var (X) + Var (Y)
D. E(X2Y2) = (E(X))2 (E(Y))2
Join The Discussion