Question 1
The probability that two friends are born in the same month is ?
1/6
1/12
1/144
1/24
Question 2
What is the median of data if its mode is 15 and the mean is 30?
30
25
22.5
27.5
Question 3
Let P(E) denote the probability of the occurrence of event E. If P(A) = 0.5 and P(B) = 1, then the values of P(A/B) and P(B/A) respectively are
0.5, 0.25
0.25, 0.5
0.5, 1
1, 0.5
Question 4
Three coins are tossed simultaneously. The probability that they will fall two heads and one tail is
5/8
1/8
2/3
3/8
Question 5
If the mean of a normal frequency distribution of 1000 items is 25 and its standard deviation is 2.5, then its maximum ordinate is
(1000/√2π).e-25
1000/√2π
(1000/√2π ).e-2.5
400/√2π
Question 6
A bag contains 19 red balls and 19 black balls. Two balls are removed at a time repeatedly and discarded if they are of the same colour, but if they are different, black ball is discarded and red ball is returned to the bag. The probability that this process will terminate with one red ball is
1
1/21
0
0.5
Question 7
If the pdf of a Poisson distribution is given by f(x) = (e-22x)/x!, then its mean is
2x
2
-2
1
Question 8
A class of 30 students occupy a classroom containing 5 rows of seats, with 8 seats in each row. If the students seat themselves at random, the probability that the sixth seat in the fifth row will be empty is
1/5
1/3
1/4
2/5
Question 9
Let f(x) = log|x| and g(x) = sin x . If A is the range of f(g(x)) and B is the range of g(f(x)) then A ∩ B is
[-1, 0]
[-1, 0)
[-∞, 0]
[-∞,1]
Question 10
The rank of a matrix

0
1
2
3
There are 30 questions to complete.