Statistics for Economics and Business 2 (ECON2206)
Faculty of Economics and Management Science (FEMS)
Semester: Resit
Level: 200
Year: 2016
DURATION; 3HOURS
INSTRUCTIONS: Answer ALL questions
Exercise one (15 marks)
A bag contains 7 white balls and 3 black balls. A white box contains 5 green balls and 2 red
balls. A black box contains 3 green balls and 1 red ball. A ball is taken at random from the bag
and if this ball is white, a ball is taken at random from the white box. If it is a black a ball is
taken at random from the black box. Given that the ball taken from the box is red, determine the
probability that the box is coloured white.
Exercise two (15 marks)
A committee of five is chosen by drawing lots from a group of eight men and four women.
Determine the probability that the committee contains exactly three men.
Exercise three (15 marks)
A notorious gang of outlaws contains five gunfighters called smith, four called jones and one
called Cassidy. In a gunfight, three of the gang are kicked. Assuming that each gunfighter had
the same probability of being killed. What is the probability that the three in the gunfight all had
different names?
Exercise four (15 marks)
The random variable X can only take the values 2 and 5. Given that the values 5 is twice as
likely as the value 2. Determine the expectation of X.
Exercise 5 (10 marks)
Determine the expectation of the random variable X, which has probability distribution given
below:
Value of X 0 1 3
Probability 0.3 0.4 0.1
THE UNIVERSITY OF BAMENDA
FACULTY OF ECONOMICS AND MANAGEMENT SCIENCES
Semester it Course : S
Course : C
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