Question: It is estimated that on average one match in five in the Football league is drawn and that one match in two is a home

It is estimated that on average one match in five in the Football league is drawn and that one match in two is a home win.

a) Twelve matches are selected at random. Calculate the probability that the number of drawn matches is

i. exactly three

ii. at least four

b) Ninety matches are selected at random. Use a suitable approximation to calculate the probability that between 13 and 20 (inclusive) of the matches drawn.

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