A1)local club is having a raffle to give away 6 identical $100 gift cards. If 185 people ente different groups of six winners can there be? 2) A student takes an exam in History and an Exam in English. The History exam had a clas while the English exam had a class mean score of 62 points with a standard deviation of and 67 points on the English exam, which exam was the student's score higher relative t 3) Assume that ages of professional football players follow a bell-shaped (normal) distribu 7 years. A) Based upon the Emprirical (68-95-99.7) Rule, give an interval that will contain 9 B) What would the Z-score (standard score) of a player that is 25 years old? C) If the z-score of a player was stated to be 1.25, what would be his age? 4) Assume you have a group of ten ping-pong balls numbered from 1-10. Let us define som Event A: A randomly selected ball has an even number on it Event B: A randomly selected ball has a multiple of 3 on it Event C: A randomly selected ball has either a 5 or 8 on it Answer the following questions related to probability of the above described events for a SINGLE a. P(A) = b. P(B) = c. P(A and C) = d. P(A or C) = e. P(not B) = f. P(A given B) = g. Describe the complement of Event A h. From the 3 events listed above (Events A, B, & C) is any pair mutually exclusive? cards. If 185 people enter the raffle by each buying one ticket, how many e History exam had a class mean score of 54 points and a standard deviation of 2.1, h a standard deviation of 3.4. If the student scored 58 points on the History exam nt's score higher relative to the class? -shaped (normal) distribution with a mean of 33 years and a standard deviation of nterval that will contain 95% of all such ages. hat is 25 years old? would be his age? m 1-10. Let us define some events as follows: ibed events for a SINGLE trial: y pair mutually exclusive? Explain your