Course: Probability Methods in Engineering (EE-225)
Discipline: B.Sc. Electrical Engineering
Batch: Repeaters Semester: 3rd Time: 120 Minutes Marks: 50
Important Note
1. Write NAME and CLASS NUMBER (Exam Roll No)on your answer sheet.
2. Understanding questions is part of part of examination. Hence,
avoid asking teachers for explaining questions given in the
question paper.
Note: Attempt all questions.
1. A box contains 10 identical resistors numbered 0, 1, ……, 9. A random experiment involves
selecting a resistor from the box and noting the number of the resistor. Find the probability of
the following events:
A: “number of resistor selected is odd,”
B: “number of resistor selected is a multiple of 3,”
C: “number of resistor selected is less than 5,”
and A U B and A U B U C.
(CLO-1)
(marks: 12)
2. Consider the data given in Table 1 which gives information about house size and its size in a
newly developed housing society.
Size in feet2 (x)
Price in ($) 1000’s
2104
460
1416
232
1532
315
852
178
Use linear regression, to develop a hypothesis function hα(x) = α0+α1x. For different values
of α0 and α1 we will get different hypothesis functions. Among the following options, which
option gives optimal hypothesis function?
(i) α0=0 and α1=0.5
(j) α0 = 0.5 and α1=0.5
(k) α0=1 and α1=0.5
(CLO-2,3)
(marks: 20)
1. Consider the following information
i. There is a 60% chance that it will rain today.
ii. There is a 50% chance that it will rain tomorrow.
iii. There is a 30% chance that it does not rain either day
Find the following probabilities
(a) It will rain today or tomorrow
(b) It will rain today but not tomorrow
(c) It will rain today and tomorrow
(CLO-1)
(marks: 10)