1) XYZ University plays the following basketball schedule next season. Assume independence and ignore the fact that the season is almost over and we know they won most of the games@ Hint: this is a new look on something you totally know - think Bernoulli RV! Opponent P[Win] vs. Chattanooga 8046 vs. Longwood 904 VS. Mississippi State 3016 Missouri/Old Dominion 40X VS. OLD DOMINION at VCU 7016 at South Carolina 60K vs. Florida VS. UNC GREENSBORO VS. UNC-WILMINGTON at Wake Forest a What is the expected number of wins in the preseason bj what is the variance of the number of wins? 2) You are the production manager for the production of the latest generation of LED lights. The chance of = LED light being defective is 131%. Of a batch of 25 LED lights. 2) What is the chance exactly 5 are defective? b) what is the expected number of defective lights? :) what is the variance of the number of defective lights? 31 `Each of my 12 oldest teddy bears has a 309% chance to demand honey any given day. What is the chance 5 of them demand honey tomorrow? bj what is the expected number of teddy bears to demand honey tomorrow? :) what is the variance of the number of bears that will demand honey tomorrow? 4) what is the chance the next big meteor will hit earth on a Friday between 11 am and 5 pm? 5) Each day of the next 12 days I will send you exactly one email. I send them randomly at all times of the day (or night), but as said you get exactly one per day! What is the chance 4 of the days I send the email between noon and 5 pm? Hint: first ask yourself: What is p(Success)! 6) You are one of 6 students in my class of 20 students that cheated. There is a very accurate test to find cheaters, which is never wrong, but unfortunately very expensive so I can test only 6 random students. What is the expected number of cheaters that I catch? b) what is the chance you get caught? c) What is the chance I catch exactly 3 cheaters