QUESTION FOUR  (b)  A new fly spray is applied to 50 samples each of 5 flies and the number of living flies counted after an hour. The results were as follows:   Number Living 0 1 2 3 4 5  Frequency  7 20 12 9 1 1   i.  Calculate the mean number of living flies per sample and hence an estimate for p , the probability of a fly surviving the spray                                                ii.  Using your estimate calculate the expected frequencies (each correct to one decimal place) corresponding to a binomial distribution                                         iii.  Perform a chi – square goodness – of – fit test using a 5% significance level.

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QUESTION FOUR 
(b) 
A new fly spray is applied to 50 samples each of 5 flies and the number of living flies counted after an hour. The results were as follows:  
Number Living 0 1 2 3 4 5 
Frequency  7 20 12 9 1 1  
i. 
Calculate the mean number of living flies per sample and hence an estimate for p , the probability of a fly surviving the spray                                               
ii. 
Using your estimate calculate the expected frequencies (each correct to one decimal place) corresponding to a binomial distribution                                        
iii. 
Perform a chi – square goodness – of – fit test using a 5% significance level.                                                                                                                 

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