April 2000
MA214 : DISCRETE MATHEMATICS

QUESTION 5

Total Marks: 15 Marks

• Question 1
• Question 2
• Question 3
• Question 4
• Cover Page

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SUGGESTED SOLUTIONS
for Question 5

(a)What is the minimum number of students needed to guarantee that at least six students will receive the same grade,if there are five possible grades A,B,C,D and F? Justify your answer.[4 marks ]

(b)A pair of fair dice are rolled.Let X be the sum of the numbers that appear.Let S be the set of values that X can take.
(i)Write down the elements of S [2 marks ]
(ii)Write down the distribution of X .[5 marks ]
(iii)Calculate the expected value of X .[4 marks ]