A 19-foot Scout fishing boat contains a U.S. Coast Guard label for maximum capacity. It states that the maximum capacity is 6 persons or 1,000 pounds (not including gear). 

a. The average weight of males in the United States (in 2010) was about 196 pounds with a standard deviation of about 74 pounds. What is the probability that six (randomly chosen) males get on the boat and their combined weight exceeds 1,000 pounds?

b. Your answer to part (a) should have been larger than 0.50. What is the largest number of (randomly chosen) males that you can put on the boat so the probability of their combined weight exceeding 1,000 pounds is less than 0.50?