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1. (i) Complaints were made about the level of pollutants in the discharge from a certain factory. The factory refuted the complaints by showing the results of their own analysis of the discharges. However, the Environmental Health Agency claimed the method of analysis used by the firm was faulty. A comparison was made over nine days using two methods of analysis in parallel to check the pollution levels. The results (in ppm.) are shown below:
Does the data suggest the firm's method does underestimate the level of pollution?
(ii) A company making electronic products has studied the pollution in the atmosphere by taking samples of air flowing into their filters and counting the number of dust particles. The results are shown below.
Number of Occasions
0
34
1
46
2
38
3
19
4
5
6 or more
(a) What model would be expected to describe this data?
(b) Test to see if your suggestion appears to be valid.
An experiment succeeds twice as often as it fails. Find the chance that in the next six trials there will be at least four successes
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