If you roll a die 100 times, what is the approximate probability that you will roll between 9 and 17 ones, inclusive? (Round your answer to two decimal places.)

Question

You may need to use the appropriate appendix table or technology to answer this question.

If you roll a die 100 times, what is the approximate probability that you will roll between 9 and 17 ones, inclusive? (Round your answer to two decimal places.)

Answer 1

It is unlikely that you will have tables of the binomial distribution for this and you will need to use the normal (Gaussian) approximation to the binomial with n=100, p=1/6 and q=1-p.

Remember the mean in np and the standard deviation is sqrt(npq).