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A school principal is looking at the combinations of subjects students are studying.
He learns that the probability that a student is studying Chemistry is 0.5 and that the probability that a student is studying Physics is 0.1. He has also found that the probability that a student is studying Chemistry given that they are studying Physics is 0.7.
(a) What is the probability that a student is studying both Chemistry and Physics ?
(b) What is the probability that a student is studying Physics given that they are studying Chemistry ?
(c) What is the probability that a student is studying Chemistry or Physics or both ?
Using R function nlm and your code from Exercise E1.2, write an R function called pois.mix.mle to obtain MLEs of the parameters of the Poisson mixture model.
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CO-ORDINATE GEOMETRY : Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field.
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