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If xi>0, yi>0(i=1,2,3,,n) are the values of two variables X and Y with geometric means P and Q respectively, then the geometric mean of XY is

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Important Questions on Solved Paper 2018 (II)

HARD
NDA & NA EE
IMPORTANT

If probability of simultaneous occurrence of two events A and B is p and the probability that exactly one of A,B occurs is q, then which of the following is/are correct?

1. P(A¯)+P(B¯)=2-2p-q

2. P(A¯B¯)=1-p-q

Select the correct answer using the code given below.

MEDIUM
NDA & NA EE
IMPORTANT
If the regression coefficient of Y on X is -6 and the correlation coefficient between X and Y is -12, then the regression coefficient of X on Y would be
MEDIUM
NDA & NA EE
IMPORTANT
The set of bivariate observations x1,y1, x2,y2xn,yn are such that all the values are distinct and all the observations fall on a straight line with non-zero slope. Then the possible values of the correlation coefficient between $x$ and $y$ are
MEDIUM
NDA & NA EE
IMPORTANT
Two integers x and y are chosen with replacement from the set [0,1,2,,10]. The probability that x-y>5 is
HARD
NDA & NA EE
IMPORTANT

An analysis of monthly wages paid to the workers in two firms A and B belonging to the same industry gives the following result:

  Firm A Firm B
Number of workers 500 600
Average monthly wage  1860  1750
Variance of distribution of wages 81 100

The average of monthly wage and variance of distribution of wages of all the workers in the firms A & B taken together are

HARD
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Three dice having digits 1, 2, 3, 4, 5 and 6 on their faces are marked I, II, and III and rolled. Let x, y and z represent the number on die-I, die-II and die-III, respectively. What is the number of possible outcomes such that x>y>z?
EASY
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IMPORTANT

In any discrete series (when all values are not same), if x represents mean deviation and y represents standard deviation, then which one of the following is correct?