Both parts correlate!

3. ( 0.5 point) In a desert area, historical data shows that the average number of raining days in a year is 2 and raining days are scattered randomly over the time. If it is assumed that one year contains 365 days, the above observation infers that the probability of a day being a raining day, p, is 2/365. Please write a program to calculate the probability of a dry year in which not a single day has rain. ( 0.5 point ) Hint: The probability that a day is not raining is (1-2/365). Thus, the probability of a dry year with no rain is (12/365)365. 4. (0.5 points) Please modify your program in question 3 to check what probabilities of the dry spells (non-raining days) lasting for 1 year, 2 years, 4 years, 8 years are, respectively. Please give an analytical argument on the tie of your results with Euler's number e