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Probability and Statics BS 2 Semester/Term University Of Sargodha (UOS) 2021

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Subject: IT & CS

University of Sargodha

BS 2ºd Semester/Term Exam 2021

Paper: Probability and Statistics (Math-102)

Time Allowed: 02:30 Hours

Maximum Marks: 60

Note: Objective part is compulsory. Attempt any three questions from subjective part.

Objective Part

(Compulsory)

Q.1.

Write short answers of the following in 2-3 lines each on your answer sheet.

(2*12)

Write any use of Statistics in computer science

Explain the difference between discrete and continuous variables

int.

in

Define mean?

State multiplication law of probability of two independent events

When we use t-test?

yi:

Vil.

vili.

ix.

x.

xin

xii.

Define secondary data

Write two properties of variance

Write two properties of Poisson distribution

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Write two properties of hypergeometric distribution

Define sampling

Define alternative hypothesis

Define correlation

Subjective Part

(3*12)

a) Discuss types of statistics and write some applications in computer science.

b) In an experiment to study the relationship of hypertension and smoking habits, the following data

are collected for 180 individuals

Nonsmokers

Moderate smokers

Heavy Smokers

H

NH

48

26

19

Where H and NH in the table stand for Hypertension and Non hypertension respectively. If one of

these individuals is selected at random find the probability that the person is

(i).

Experiencing Hypertension, given that the person is a heavy smoker

(ii).

Q.3.

A nonsmoker given that the person experiencing no Hypertension

a) Write a procedure for testing of independence

b) Two tire-quality experts examine stacks of tires and assign quality ratings to each tire on a 3-point

scale. Let X denote the grade given by expert A and Y denote the grade given by B. The following

table gives the joint, distribution for A' and Y.

J (x,y)

3

1

0.10

0.10

0.03

0.05

0.35

0.10

0.02

0.05

0.20

(i). Find #,

(ii).Find 4,

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