UNIVERSITY EXAMINATIONS: 2016/2017
EXAMINATION FOR THE DEGREE OF MASTER OF SCIENCE IN
DATA ANALYTICS
PART TIME/WEEKEND
DATE: DECEMBER, 2016 TIME: 2 HOURS
INSTRUCTIONS: Answer Question One & ANY OTHER TWO questions.
QUESTION ONE: [30 MARKS]
a) Sketch and briefly describe the following distributions
i. Uniform [1 Marks]
ii. Normal [1 Marks]
iii. Double Exponential [1 Marks]
b) Define a statistical sample space [3 Marks]
c) Two six-sided dice with sides numbers 1-6 are rolled and the sum of the numbers
are recorded.
i. List the elements of the sample space [5 Marks]
ii. Find the probability that the sum is at least 5 [3 Marks]
d) Define the sampling distribution of the following statistics
i. Sample mean [3 Marks]
ii. Sample proportion [3 Marks
