Questions by neha.i

11 votes
2 answers
1
Suppose $X$ is distributed as Poisson with mean $λ.$ Then $E(1/(X + 1))$ is $\frac{e^{\lambda }-1}{\lambda }$ $\frac{e^{\lambda }-1}{\lambda +1}$ $\frac{1-e^{-\lambda }}{\lambda}$ $\frac{1-e^{-\lambda }}{\lambda + 1}$
1 vote
1 answer
2
What will be the output of the following C program? If you think it will give a runtime error, you need to mention it. In either case, your answer must include proper justifications without which no credit will be given. #include<stdio.h> main() { unsigned char i, j, a[] = {1, 2, 3, 4, 5}; int n; i = j = n = ... %d\n", i, j, n); while(j-- != 0) a[0] += n; printf("j = %d, a[0] = %d\n", j, a[0]); }
2 votes
1 answer
3
Let A be a square matrix such that $A^{3}$ = 0, but $A^{2} \neq 0$. Then which of the following statements is not necessarily true? (A) $A \neq A^{2}$ (B) Eigenvalues of $A^{2}$ are all zero (C) rank(A) > rank($A^{2}$ ) (D) rank(A) > trace(A)
2 votes
1 answer
4
A club with $n$ members is organized into four committees so that each member belongs to exactly two committees and each pair of committees has exactly one member in common. Then $n = 4$ $n = 6$ $n = 8$ $n$ cannot be determined from the given information