2 One thousand coins were each flipped eight times and the n

2. One thousand coins were each flipped eight times, and the number of heads was recorded for each coin. The results are as follows: a) Does the distribution of coin flips match the binomial distribution expected with fair coins? Make some assumptions if required. b) If the binomial distribution is a poor fit, try to explain in what way the distribution does not match the expectation. ) Some two-headed coins (both sides heads), were mixed with the fair coins. Can you say approximately how many tow- headed coins there might have been out of this 1000? 3. A recent study looked at the death rates of people according to whether their diet had a low, medium or high component of Mediterranean diet. We want to know association between diet and smoking, The data In the study are as follows: a) Draw a mosaic plot of these data? b) Test whether there is an association between smoking and diet.

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