# Continous Time Signals MCQ’s

This set of Electronic Devices & Circuits Multiple Choice Questions & Answers (MCQs) focuses on “Continous Time Signals”.

(Q.1-Q.2) The number of cars arriving at ICICI bank drive-in window during 10-min period is Poisson random variable X with b=2.

1. The probability that no car will arrive is
a) 0.516
b) 0.459
c) 0.246
d) 0.135

2. The probability that more than 3 cars will arrive during any 10 min period is
a) 0.249
b) 0.143
c) 0.346
d) 0.543

(Q.3-Q.5) Delhi averages three murder per week and their occurrences follow a Poisson distribution.

3. On the average, how many weeks a year can Delhi expect to have no murders ?
a) 1.4
b) 1.9
c) 2.6
d) 3.4

4. The probability that there will be five or more murder in a given week is
a) 0.1847
b) 0.2461
c) 0.3927
d) 0.4167

5. How many weeds per year (average) can the Delhi expect the number of murders per week to equal or exceed the average number per week?
a) 15
b) 20
c) 25
d) 30

(Q.6-Q.8) The random variable X is defined by the density f(x) = 0.5u(x) e(0.5x)

6. The variance of the random variable x is
a) 1/10
b) 3/80
c) 5/16
d) 3/16

7. The expect value of g(x) = X3 is
a) 48
b) 192
c) 36
d) 72

8. The mean of the random variable x is
a) 1/4
b) 1/6
c) 1/3
d) 1/5

(Q.9-Q.10) A joint sample space for two random variable X and Y has four elements (1,1), (2,2), (3,3) and (4,4). Probabilities of these elements are 0.1, 0.35, 0.05 and 0.5 respectively.

9. The probability of the event that X is less than three is
a) 0.45
b) 0.50
c) 0.55
d) 0.60

10. The probability of the event{X  2.5, Y  6} is
a) 0.45
b) 0.50
c) 0.55
d) 0.60