Probability & Statistics BSSE 3rd Term 2016 Past Paper UOS

University of Sargodha
BS 3rd Term Examination 2016

Subject: Software Engineering
Paper: Probability & Statistics (Math: 2110)

Time Allowed: 2:30 Hours
Maximum Marks: 80

OBJECTIVE PART (Compulsory)

Maximum Marks: 32

Q#1 Answer the following short questions. Each question carries 02 marks. (16*2=32)
i. Define Statistical Inference.
ii. State Bays’ Rule.
iii. Define random variable.
iv. Write down the expression for the variance of a random variable.
v. What is mean and variance of the binomial probability distribution?
vi. Write down the parameters of the normal distribution.
vii. Stat Central Limit Theorem.
viii. What is meant by more efficient estimator?
ix. Define standard error of a point estimate.
x. Define outlier.
xi. Define null hypothesis.
xii. Define type I error.
xiii. Describe power of a test.
xiv. Define P-value.
xv. Define scatter diagram.
xvi. Define R².

SUBJECTIVE PART

Q#2
The tensile strength of silicone rubber is thought to be a function of curing temperature. A study was carried out in which samples of twelve specimens of the rubber was prepared using curing temperature of 20°C and 45°C. The data below show the tensile strength values in megapascals.

20°C:
2.07 2.14 2.22 2.03 2.21 2.03
2.05 2.13 2.09 2.14 2.11 2.02

45°C:
2.52 2.15 2.49 2.03 2.37 2.05
1.99 2.42 2.08 2.42 2.29 2.01

i) Compute sample mean tensile strength for both groups.
ii) Compute sample standard deviation for both data groups.
iii) Construct box and whisker plot for both groups to discuss main features of data.