NIELIT STQC 2021 Quiz-17

Table below shows the variable x and its probability mass function p(x) value for different ‘x’. What is the mean of x ?

Calculate the standard deviation of the sum of the numbers obtained in tossing a pair of unbiased dice.

Suppose that R₁ and R₂ are reflexive relations on a set A. Which of the following statements is correct ?

How many relations on a set with 3 elements are neither reflexive nor irreflexive _________?

Consider the following Finite State Automaton. The language accepted by this automaton is given by the regular.

Which of following is considered as final states in DFA over Ʃ = {0, 1} with each string contains even number of 0’s and even number of 1’s.

The most appropriate matching for the following pairs is-

In realization of 64 : 1 MUX using 2 : 1 MUX, the required number of 2 : 1 MUX is:

In which decomposition the information will not lose from the relation when it is decomposed:

Consider the following C declaration

struct {

short s [5]

union {

float y;

long z;

}u;

} t;

Assume that objects of the type short, float and long occupy 2 bytes, 4 bytes and 8 bytes, respectively. The memory requirement for variable t, ignoring alignment considerations, is