Question 3. a) Write down the conditions under which the binomial distribution may be a suitable model to use in statistical work. b) A six-sided die is biased. When the die is thrown the number 5 is twice as likely to appear as any other number. All the other faces are equally likely to appear. The die is thrown repeatedly. Find the probability that (i) the first 5 will occur on the sixth throw. (ii) in the first eight throws there will be exactly three 5s.

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