Download DBATU B.Tech 2019 March 4th Semester Probability and Statistics Question Paper

Download DBATU (Dr. Babasaheb Ambedkar Technological University) B Tech 2019 March (Bachelor of Technology) 4th Semester Probability and Statistics Question Paper

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DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY,
LONERE
Mid Semester Examination ? March 2019
Course: B. Tech Computer Science Sem : IV
Subject Name: Probability & statistics Subject Code:BTCOC402
Max Marksz20 Datez-12-03-19 Duration:? 1 Hr.
Instructions to the Students:
1. All questions are compulsory
2. Use of Non-programmable calculator is allowed.
3. Figures to the right indicate full marks.
Multiple choice questions
1) Given that P(A) = 0.8, P(B) ?= 0.7, P(AUB) = 0.9, what is
P(A?B)
A. Can be any number between 0 and 0.7
B. 0.56 ,
C. 0.06
D. 0.6 .
2)X takes values 1,2,3 with P(X=1)=0.2 and E(X) = 2.2, then
P(X=2) is .......
A.O.5
B. 0.1
C. 0.3
D. 0.4 .
3) If random variable .X has binomial distribution with
parameter In and p, then
A. Mean < Variance
B. Mean > Variance
C. Mean = Variance
D. Mean 5 Variance
4)Suppose X follows normal distribution with mean 60 and
variance 10, then maximum height of its probability density
? curve is of ........
A. 60
B. 50
C. 65?
D. 70 .
5)The probability of drawing one white ball randomly from a
bag containing 6 red, 8 black, 10 yellow and 1 green ball is
A.1/25 .
B. 0
C. 1
D. 14/25
(Level/CO)
M
Marks
6

(2.2
(A
(B)
(C)
Q. 3
(A)
(B)
(C)
(L w '9?? ?
6) The sample space is ......
A.A set of the data Space in Which a sample experiment can be
performed
B.The set ofan possible outcome of a random experiment
C.A space from which a sample for study may be drawn
D.None
Solve Any Two of the following. , . 3 X 2
In a bolt factory, machine A, B, C manufacture respectively
25%, 35% and 40% 0f the total, of their output 5, 4, 2 percent
are known to be defective bolts. A bolt is drawn at random from
the product and is found to be defective. What are the
probability that it was manufacture by i) machine A ii) machine
B or C
Two beads are selected at random without replacement from a
bowl containing 4 blue, 1 red and 2 black beads. Let X denote
the number of red heads, Y denote the number of black beads
drawn. '
i) "Find the joint p.m.f
ii) Obtain the marginal p.m.f of X and Y
iii)Calculate P(X < Y ) -
An unbiased coin is tossed is toss six times ?nd the probability of V
getting ' L
i) Two heads ii) at least four heads
Solve Any Two 0f the following. 8
Suppose continuous random variable X has p.d.f
f(x) = x2/3; ?1-s X52
? = 0; Otherwise
IfA= {xleO} ,
B === {x|~1/2 E x S 1/2}
Find P(A),P(B), P(A?) P(AnB), P(AUB), P(A?nB), P(A?UB?),
P(A?nB?) V
A die is tossed twice. Getting a number greater than 4 is
considered a success. Find the mean and variance of the
probability distribution of the number of successes.
Fit a binomial distribution to the following data;
X : 0 1 2 3 4
f : 28 ? 62 46 10 4
add: End Md: