Final set of 8 questions, from 33-40 are provided below. This complete the first collection of questions on mathematics. Answers to these questions would be published at a later point in time. Readers are strongly advised to work the answers to these questions for a complete practice.
33) Which of the following is a tautology?
a) p ν q
b) p ∧ q
c) p ν p
d) p ∧ p
34) p ↔ q is equivalent to
a) p ↔ q
b) q ↔ p
c) (p ↔ q) ν (q ↔ p)
d) (p ↔ q) ∧ (q ↔ p)
35) The value of [3] +11 ([5] +11 [6]) is
a) [0]
b) [1]
c) [2]
d) [3]
36) Which of the following is a statement?
a) Give me a cup of tea
b) Wish you all success
c) How beautiful you are!
d) The set of rational numbers is finite
37) A random variable X has the following probability distribution
| X | 0 | 1 | 2 | 3 | 4 | 5 |
| P(X=x) | 1/4 | 2a | 3a | 4a | 5a | 1/4 |
Then P(1<=x<=4) is
a) 10/21
b) 2/7
c) 1/14
d) 1/2
38) The distribution function F(X) of a random variable X is
a) a decreasing function
b) non decreasing function
c) a constant function
d) increasing first and then decreasing
39) In a Poisson distribution if P(X = 2) = P(X = 3) then the value of its parameter l is
a) 6
b) 2
c) 3
d) 0
40) A property of cumulative distribution function F(x) is
a) it is strictly increasing
b) 0 < F(x) < 1 , - ∞ < x < ∞
c) F(- ∞) = - 1
d) F(∞) = 1
No comments:
Post a Comment