Student Declaration
Student Declaration
Student Declaration
questions based paper of Final Term Examination Spring 2021. I take full responsibility of
then Institute reserves the right to take any disciplinary action against me.
Student Signature
Final Exam / Spring 2021 (Paper Duration 24 hours)
(Online Assignment Based Question Paper)
To be filled by Student
(THEORETICAL/PRACTICAL EXAMINATION)
(ii) A coin and a dice is rolled, find the sample space of these two events.
(iii) A box contains 15 items, 4 of which are defective. Four items are selected. What is the
probability that the first item is good, 2nd is defective, 3rd is good and 4th is defective.
Answer: _______ ______
(iv) What is the difference between mutually and not mutually exclusive events with
example?
Answer: _______ ______
Q.No.2.(a) Assuming that the weekly demand for the video recorded is a poisson
distribution with variance 3, find the probability that the shop sells (i) at least 3 in a week
(ii) at most 7 in a week (iii) more than 20 in a month (4 week) (Marks 03)
Answer: _______ ______
(b) A Surgeon probability of a successful operation is 0. 2 for each operation, and that the 6
operations are independent, compute the probability that, in order to operate: (Marks 03)
(i) It takes more than two operations.
(ii) The number of operations required is between four and six (inclusive).
(c) Find the value of K so that the function f (x) defined as follow, may be density function.
Also determine its mean and standard deviation. (Marks 04)
f(x) = k x 3 ( 1 – x ) 0 < x < 1
= 0 otherwise
(b) A deck of playing cards contains 20 cards: 14 black and cards 6 red cards. 5 cards are
drawn randomly without replacement. What is the probability that exactly 4 red cards are
drawn? The probability of choosing exactly 4 red cards is. Also calculate the mean and
variance. (Marks 03)
Answer: _______ ______
(c) A random variable x is a binomial distribution with mean 4 and variance 3 compute
(d) A dell laptop company made by consists of two types of laptop, gray color laptop and
black color laptop. In the process of manufacturing of gray color laptop, 98 out of 150 are
non defective. And in the manufacturing process of black color laptop, 95 out of 150 are non
defective. Calculate the probability that the assembled type is non defective. (Marks 03)
Answer: _______ ______