ZEAL EDUCATION SOCIETY’S
ZEAL COLLEGE OF ENGINEERING AND
RESEARCH
NARHE │PUNE -41 │ INDIA
Record No.: ZCOER-ACAD/R/29
Revision: 00
Date:11/05/2022
Assignment
Department: Computer Engineering
Semester: II
Class: SE
Division: A/B
Academic Year: 2021-2022
Marks:10
Course: Engg. Mathematics-III
Course Faculty: Prof. Hemant Tajanpure
Assignment No: 04
Date of Submission:
Q.
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Questions
A bag contains 4 white & 6 black balls. Two draws of 3 balls are
made from it.find chance of drawing first three white & then
first three black balls when i) Balls are replaced ii) Balls are not
replaced.
An insurance agent accepts policies of 5 men of identical age &
in good health. The probability that a men of this age will be
2
alive 30 years is 3 .Find Probability that i) All 5 Men ii) At least
1 men will alive.
In a certain factory producing cycle tyres there is small chance
of 1 in 500 tyres to be defective. The tyres are supplied in a lots
of 10. Using Poisson Distribution calculate approximate no.of
tyres containing i) No defective ii) one defective iii) two
defective tyres in consignment of 1000 lots.
2
Team A has a probability of 3 of winning, whenever the team
plays particular game. If team A plays 4 games, find probability
that the team wins i) exactly 2 games ii)at least 2 games.
5000 candidates appeared in a certain paper carrying a
maximum of 100 marks.It was found that marks are normally
distributed with mean 39.5 and standard deviation 12.5.
Determine approximately the no.of candidates who secure a first
class for which minimum of 60 marks is necessary.
(Z=1.64, A=0.4495)
The average no.of misprints per page of a book is 1.5. Assuming
the distribution of number of misprints to be poisson, find
i)The probability that a particular book is free from misprints.
Marks
5
CO
Blooms
Mapped
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ii)Number of pages containing more than one misprints if the
book contains 900 pages.
Fit a poisson distribution to the following frequency Distribution
X
0
1
2
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5
f
150
154
60
35
10
1
The height of a student in a school follows a normal distribution
with mean 190cm & Variance 80 cm2. Among the 1000 student
from the school how many are expected to have height above
200cm.
(z=1.118, A=0.3686 )
A fair coin is tossed n number of times, in a binomial
distribution if the probability of getting 7 heads is equal to that
of getting 9 then find value of n.
Let x have probability mass function
P(x) = k x2 , x=1,2,3,4
=0 , otherwise
Then find Expected value.
Prof. Hemant Tajanpure
Course Faculty
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