At a fundraising fair there is a game where you spin a giant spinner to win a prize. The spinner is divided into 8 equal sections. You are babysitting 2 children who are only interested in winning the stuffed panda which means the spinner must stop on section 3 or 8. You plan on making 25 attempts to win 2 pandas.

a) Can normal approximation to the binomial distribution be used? Justify your answer and describe why it is important to check that the normal approximation can be used

b) Calculate the proability that you win exactly 2 pandas in the 25 spins, using the normal approximation to the binomial distribution