1. Brianna stood in front of the AMC theaters in Independence last week and asked 500 people what kind of movies they liked. She found that: a. 240 liked the dramas b. 137 liked comedies C. 11 1 1 1 1 94 liked science fiction 67 like dramas and comedies 42 liked dramas and science fiction 47 liked comedies and science fiction 36 liked all three types of movies. Draw the Venn diagram and determine the following: a. How many liked none of these types of movies? b. How many liked only the dramas? c. How many liked exactly one of these types of movies? d. How many liked exactly two of these types of movies? e. How many liked dramas or comedies?2. Using the chart below, if Sarah D. selects one jar at random to place on the shelf, determine the probability she will select a jar of: a. = a. Skippy b. = b. Peter Pan chunky butter C.= c. Jif Chunky or Skippy smooth peanut butter Brand Smooth Chunky Total Peter Pan 24 13 37 Jif 13 22 35 Skippy 17 9 26 Other 9 7 16 Total 63 51 1143. We are going to have an outdoor birthday party for Kasie. We figure 25 people will attend if it rains and 70 people will attend if it does not rain. The weather forecast indicates that there is a 20% chance of rain that day. What is the expected number of people who will attend the party?4. Nine hundred raffle tickets are sold for $2 each. One prize of $1500 will be awarded. Dee purchases one ticket, what is her expected value?5. Amy is considering bringing a lawsuit against a chemical company. Trazell, her lawyer, estimates that there is a 65% chance Amy will make $150,000, a 10% chance Amy will break even, and a 25% chance they will lose the case and Amy will need to pay $50,000 in legal fees. What is Amy's expected gain or loss if she proceeds with the lawsuit