MAIN CAMPUS
WKS 226
UNIVERSITY OF THE FREE STATE
EXAMINATION: NOVEMBER 2007
ASSESSOR: Dr. I.Garisch
Mr. D. Chikobvu
MODERATOR: Mr. A.M. Naude
TIME: 3 Hours MARKS: 100
Question 1
A certain phenomenon is either present or not. An apparatus has a prob
PUNTE
MARKS
' 2' %
(Skry bei Fame van die papier)
(Please ite on both sides of the paper)
Van: Voorletters:
IIII
Mnr/Mev/Mej H/
Surname: Initials: Mr/Mrs/Miss
Student Number: 61 7 3 S 6 7 Evening or day student: _____ .................
WKS216 TEST 1 MEMO
Date: 25 February 2013
Time: 11/2 hours
1.
a)
b)
2.
a)
b)
3.
MY(t) = E(etY) = E(eX ) = E(eX ) = E(eX ) (because of independence)
= MX (t)
i
i
i
i
4.
and and
which is the MGF of a gamma random variable with parameters .
so is a gamma ran
University of the Free State
Department of Mathematical Statistics and Actuarial Science
WKS216 TEST 1 Date: 25 February 2013 Time: 11/2 hours Total: 50
1. Define the following concepts:
a) Moment generating function
b) Convergence in probability.
(3)
(3)