Answer to Question #323864 in Statistics and Probability for Bless

Question

 Roll a die n times and let X be the number of times you roll 6. Assume that n is large.

(a) Compute the expectation E[X].

(b) Write down an approximation, in terms on n and Φ, of the probability that X differs from its expectation by less than 10%.

(c) How large should n be so that the probability in (b) is larger than 0.99?