Statistics for Economics and Business 2 (ECON2206)
Faculty of Economics and Management Science (FEMS)
Semester: Second Semester
Level: 200
Year: 2017
Exercise one; (15marks)
A bent penny has probability 0.8 of coming down heads when it is tossed. The penny is
tossed six times. What is the probability that it shows heads on every occasion?
Exercise two (15 marks)
1. The random variable X has a poisson distribution with mean 1.7. determine the
probability P(X>3)
2. The random variable Y has a poisson distribution with mean 1.4. determine the
probability that Y takes a value greater than 4, but less than 7
3. The discrete random variable X has a binomial distribution with n = 60 and p =0.02.
determine P(X=1)
Exercise three; (15 marks)
The four letters of the word COOK arranged in a line.
a) How many distinct arrangements are there?
b) If an arrangement is chosen at random, what is the probability that the two Os are
consecutive?
Exercise four; (15 marks)
A pack of cards is shuffled and a “hand” of 13 randomly chosen cards is dealt to one card
player. How many possible hands can that player receive?
Exercise five: (15 marks)
A box contains three coins. Two coins are fair, but the third coin is double-headed. A coin is
chosen at random and tossed.
1) Determine the probability that a head is obtained
2) If a head is obtained, determine the probability that it was the double-headed coin that
was tossed.
THE UNIVERSITY OF BAMENDA
FACULTY OF ECONOMICS AND MANAGEMENT SCIENCES
2
nd
Semester C.A Course: Statistics for Econs and Business 2: ECON206
Credit Value:
Course Lecturers:
Time: Course Status: Date:
Venue: Instruction:
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