as below question

Anne and Bob both enjoy swimming. Every day they each decide whether or not to go swimming independently from previous days and independently from each other. On average Anne goes swimming 1% of days and Bob goes swimming 20% of days. Let A be the event that Anne goes swimming less than 7 days in the next year. Let B be the event that Bob goes swimming less than 65 days in the next year. Assume there are 365 days in a year. (a) Give an exact expression for P(A), without attempting to evaluate it. (b) Determine whether the normal or the Poisson approximation is appropriate for approximating P(A), justifying your answer. (c) Use either the normal or the Poisson approximation, whichever is appropriate, to give an approximation of P(A). (d) Determine whether the normal or the Poisson approximation is appropriate for approximating P(B), justifying your answer. (e) Use either the normal or the Poisson approximation, whichever is appropriate, to give an approximation of P(B)