SIGNAL AND SYSTEM MCQS SET 07

SIGNAL AND SYSTEM MCQS SET 07

1)   Mutually Exclusive events ________
a. Contain all sample points
b. Contain all common sample points
c. Does not contain any common sample point
d. Does not contain any sample point
ANSWER: (c) Does not contain any common sample point
 

2)   What would be the probability of an event ‘G’ if G denotes its complement, according to the axioms of probability?
a. P (G) = 1 / P (G)            b. P (G) = 1 – P (G)
c. P (G) = 1 + P (G)            d. P (G) = 1 * P (G)
ANSWER:(b)  P (G) = 1 – P (G)
 

3)   What would happen if the two events are statistically independent?
a. Conditional probability becomes less than the elementary probability
b. Conditional probability becomes more than the elementary probability
c. Conditional probability becomes equal to the elementary probability
d. Conditional as well as elementary probabilities will exhibit no change
ANSWER: (c) Conditional probability becomes equal to the elementary probability
 

4)   What would be the joint probability of statistically independent events that occur simultaneously?
a. Zero                 b. Not equal to zero
c. Infinite             d. None of the above
ANSWER: (b)  Not equal to zero
 

5)   Consider the assertions given below
A : CDF is a monotonously increasing function
B : PDF is a derivative of CDF & is always positive
Which among them is correct according to the properties of PDF?
a. A is true & B is false
b. A is false & B is true
c. Both A & B are true but B is a reason for A
d. Both A & B are false since B is not a reason for A
ANSWER: (c) Both A & B are true but B is a reason for A
 

6)   The Joint Cumulative Density Function (CDF) _____
a. Is a non-negative function
b. Is a non-decreasing function of x & y planes
c. Is always a continuous function in xy plane
d. All of the above
ANSWER:  (d) All of the above
 

7)   What is the value of an area under the conditional PDF?
a. Greater than ‘0’ but less than ‘1’         b. Greater than ‘1’
c. Equal to ‘1’                  d. Infinite
ANSWER: (c) Equal to ‘1’
 

8)   When do the conditional density functions get converted into the marginally density functions?
a. Only if random variables exhibit statistical dependency
b. Only if random variables exhibit statistical independency
c. Only if random variables exhibit deviation from its mean value
d. None of the above
ANSWER: (b)  Only if random variables exhibit statistical independency
 

9)   Which among the below mentioned standard PDFs is/are applicable to discrete random variables?
a. Gaussian distribution          b. Rayleigh distribution
c. Poisson distribution             d. All of the above
ANSWER:  (c) Poisson distribution
 

10)   A random variable belongs to the category of a uniform PDF only when ______
a. It occurs in a finite range
b. It is likely to possess zero value outside the finite range
c. Both a & b              d. None of the above
ANSWER: (c) Both a & b
 

11)   What would happen if the value of term [(m-x) / (σ √2)] increases in the expression of Guassian CDF?
a. Complementary error function also goes on increasing
b. Complementary error function goes on decreasing
c. Complementary error function remains constant or unchanged
d. Cannot predict
ANSWER: (b) Complementary error function goes on decreasing
 

12)   Which type of standard PDFs has/ have an ability to describe an integer valued random variable concerning to the repeated trials carried /conducted in an experiment?
a. Binomial         b. Uniform         c. Both a & b            d. None
ANSWER: (a) Binomial