Probability & Statistics BS Statistics 2 Semester/Term UOS — University of Sargodha 2016
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University of Sargodha
BS 2a Term Examination 2016
Subject: Computer Sc/L.T Paper: Probability & Statistics (Math:2110)
Time Allowed: 2:30 Hours
Maximum Marks: 80
OBJECTIVE PART (Compulsory)
O#1
iv.
vii.
vili.
хії.
xit.
xivi
xx.
xvi.
Answer the following short questions. Each question carries 02 marks.
Define sampling.
Differentiate between Variance and Standard Deviation.
Differentiate between Observational Study and Retrospective Study.
Define probability density funetion.
Define covariance of Random Variables.
State Law of Addition for not muttolly exclusive events.
Write down the pff of negative binomial distribution.
What are the parameters of gamma distribution?
What is meant by more efficient estimator?
Define confidence interval.
Define Statistical Hypothesis.
What is Level of Significance?
Describe goodness of fit test.
What is meant by robustness of y -test to assumption of normality?
Write down Simple Linear Regression Model.
Define adjusted R?.
（16*2-32）
SUBJECTIVE PART
(16×8)
Note:
Q#2
Q#3
a)
Attempt any three questions. All questions carry equal marks.
A study of the effects of smoking on sleep patters is conducted. The measure
observed is the time, in minutes, that it takes to fall asleep. These data are
obtained:
Smokers:
69.3
45.8
56.0 22.1 ：47.6
53.2
$8.1
52.7（34.4
60.2
23.2
13.8
Non-smokers: 28.6
25.1
26.4
34.9
229.8
28.4
31.8 41.6 21.1
36.0
337.9
13.9
38.5
50.2 30.6
Find the sample mean and sample standard deviation for each group and comment
on what kind of impact smoking appears to have on the time required to fall
asteep.
A manufacturing firm employs three analytical plans for the design and
development of a particular product. For cost reasons, all three are used at varying
times. In fact, plans
1. 2, and 3 are used for 30%, 20%, and 50% of the products,
respectively. The defect rate is different for the three producers as follows:
