5. (Normal appmwzmatzon to mnomzal) (a) Write down an expression for the exact probability for the event getting 24 aces or fewer (ace means \"one spot\") in 100 rolls of a fair 6face die using 2 and the Binomial formula (7;) pk(1 p)\"_k. You don't have to evaluate the expression. Remark. It would be an awful lot of work to nd the probability using the Binomial formula, even with the aid of a calculator. If you have R installed on your computer, you may nd the exact probability using the R command pbinom(24, size=100, p=1/6), though this is not required. (b) Find an approximate value for the probability in part (a) using the normal approximation to Bino- mial. Please rst check Whether it's appropriate use the normal approximation to Binomial for this probability. (c) Rolling a air of fair dice 100 times, nd the probability of getting 3 double-ace or fewer, where double-ace means both dice come up one-spot. (d) Can we nd the probability in part (c) using the normal approximation to the Binomial? Why or why not