Question
Who among the following sits at one of the extreme
ends? Study the following information carefully and answer the questions given below: Seven persons A, B, C, D, E, F and G are sitting in a row facing towards the north but not necessarily in the same order. Each one of them likes different colors i.e., white, orange, violet, cream, mustard, brown and pink but not necessarily in the same order. The one who sits immediate right of D likes pink. D sits 2nd from one of the extreme ends. Only one person sits between D and C. A sits 4th to the left of G, who sits adjacent to C. Only one person sits between F and G, who likes violet. More than three persons sit between A and F. More than two persons sit between the one who likes violet and the one who likes cream. B sits to the left of E. B is not an immediate neighbor of A. Neither D nor C likes brown. The one who likes white sits 3rd to the left of the one who likes brown. E does not like orange.Solution
As per the given information, the one who sits immediate right of D likes pink. D sits 2nd from one of the extreme ends. Only one person sits between D and C. Here we have two possible cases. A sits 4th to the left of G, who sits adjacent to C. Only one person sits between F and G, who likes violet. Case-1
CASE-2
More than three persons sit between A and F. B sits to the left of E. More than two persons sit between the one who likes violet and the one who likes cream.
B is not an immediate neighbor of A. Here Case 1 gets eliminated. Neither D nor C likes brown. The one who likes white sits 3rd to the left of the one who likes brown. E does not like orange. So the final arrangement will be-
For the recorded observation, the coefficient of variation is 0.2 and the variance is 16. The arithmetic mean is:
If moment generating function of discrete random variable X is (q + pet )n , then E(X2) equals to
For making frequency distribution, the number of classes used depends upon:
Five persons A, B, C, D and E occupy seats in a row at random. The probability that A and B sit next to each other is:
For the discrete distribution, the Pearson's coefficient of skewness β2 is always:
If Z follows standard normal distribution with mean 0 and variance 1, then Z2 follows:
For the given figures of production of a sugar factory, the estimate of the production for 1976 using straight line trend with origin at the year 1972 b...
If the multiple correlation coefficient of X1 on X2 and X3 is zero, then:
The mean deviation and coefficient of mean deviation of 5 observation are 1.2 and 0.4. If the sum of the first four terms is 10, then the fifth term is...
For the random variable X with probability density function f(x) = (x−3)2 /5; x = 3, 4, 5, the variance of X is: