IV) 100 tickets are sold in a lottery. There is one first prize of $200. There are 3 second prizes of $100. There are five third prizes of $50. The other tickets win nothing. a) Make up a probability distribution for the tickets b ) What is the expected value of a ticket c) If you have 10 tickets, what is your expectation V) You may assume the weights of 12 year old boys are normally distributed with the mean - 98 pounds and the standard deviation =16 pounds. What percentage of 12 year old boys weigh ( you can leave the answer as a decimal) a) Over 98 pounds b ) Between 82 and 114 pounds C ) Under 74 pounds d ) Over 170 pounds e) What is the 30" percentile