a) In a small country, the probability that a person will die from a certain respiratory...

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a) In a small country, the probability that a person will diefrom a certain respiratory infection is 0.004. Let ? be the randomvariable representing the number of persons infected who will diefrom the infection. A random sample of 2000 persons with thisdisease is chosen.
(i) Determine the exact distribution of ? and state TWO reasonswhy it was chosen? [4 marks]
(ii) State the values of ?(?) and ???(?). [2 marks]
(iii) Using a suitable approximate distribution, find theprobability that fewer than 5 persons will die from the infection.(Do not use the exact distribution in part (i)). [4 marks]

Answer & Explanation Solved by verified expert

3.9 Ratings (352 Votes)

i The exact distribution of X is binomial with parameters n 2000 and p 0004 ie X Binomial 20000004 Two reasons for choosing binomial distribution for modelling this See Answer

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