Signals & Systems Test Questions Start Creating PDF

MCQ: 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?

1. Binomial
2. Uniform
3. Both a & b
4. None of the above

MCQ: What would happen if the value of term [(m-x) / (σ √2)] increases in the expression of Guassian CDF?

1. Complementary error function also goes on increasing
2. Complementary error function goes on decreasing
3. Complementary error function remains constant or unchanged
4. Cannot predict

MCQ: A random variable belongs to the category of a uniform PDF only when ______

1. It occurs in a finite range
2. It is likely to possess zero value outside the finite range
3. Both a & b
4. None of the above

MCQ: Which among the below mentioned standard PDFs is/are applicable to discrete random variables?

1. Gaussian distribution
2. Rayleigh distribution
3. Poisson distribution
4. All of the above

MCQ: When do the conditional density functions get converted into the marginally density functions?

1. Only if random variables exhibit statistical dependency
2. Only if random variables exhibit statistical independency
3. Only if random variables exhibit deviation from its mean value
4. None of the above

MCQ: What is the value of an area under the conditional PDF?

1. Greater than '0' but less than '1'
2. Greater than '1'
3. Equal to '1'
4. Infinite

MCQ: The Joint Cumulative Density Function (CDF) _____

1. Is a non-negative function
2. Is a non-decreasing function of x & y planes
3. Is always a continuous function in xy plane
4. All of the above

MCQ: 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?

1. A is true & B is false
2. A is false & B is true
3. Both A & B are true but B is a reason for A
4. Both A & B are false since B is not a reason for A

MCQ: What would be the joint probability of statistically independent events that occur simultaneously?

1. Zero
2. Not equal to zero
3. Infinite
4. None of the above

MCQ: What would happen if the two events are statistically independent?

1. Conditional probability becomes less than the elementary probability
2. Conditional probability becomes more than the elementary probability
3. Conditional probability becomes equal to the elementary probability
4. Conditional as well as elementary probabilities will exhibit no change