3. Use the Binomial Distribution to answer the following: Your local grocery store has your favorite kind of ice cream in stock 65% of the time. You go to this grocery on 10 random occasions (You can assume independence). (2pt) a. What is the probability that your favorite ice cream is in stock exactly 7 of the ten times? (2pt) b. What is the probability that your favorite ice cream is in stock at least half of the time? (5 or more out of the 10 visits)? (2pt) c. What is the average number of times that your favorite ice cream in stock if you visit the shop 100 times