Question

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7. (a) Find the number of arrangement of the letters in the word DIFFERENTIAL 2 marks] (i) In one selection session, how many ways to choose 11 football players from 2 marks] (b) 20 players? (ii) How many ways to choose one player for goalkeeper, four defenders, four midfielders and two attackers from the 11 players chosen? 2 marks] (iii) How many ways to arrange five players in the first row and the goalkeeper is always in the middle and the other six players in the second row in a photograph session? 2 marks] (a) In one indoor playground, the number of children playing at the playground has a Poisson distribution with average 12 children in half an hour. Find the mean and variance of the number of children within 12.00pm to 2.30pm 13 marks] In a random survey, 6% ofpeople take their dinner while watching television. If the sample consists of 50 adult and Y is the number of people in this sample who take dinner while watching television, find the mean and standard deviation of the probability distribution of Y. 4 marks] The mean of IELTS score for a group of students was 500 and that 20% of the students scored below 420. The score was normally distributed. Find the standard deviation for this distribution. (c) 14 marks]

Answer 1

7DIFFERENTIAL F-2 are 6+4 =12. 2 f's 12) (21)3 seth てど to C(20

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