Do problems 2, 4, and 6. Detailed answers please, thanks!

2. A soccer team has a 65% chance of winning each game that it plays. The team plays 25 games in the 2021 season. Find the following: a) The probability that the team wins 20 games. b) The probability that the team loses 10 games. c) The probability that the team wins greater than 17 games. d) The probability that the team wins at most 12 games. 3. A coin is biased where the probability of getting heads is . You toss the coin 15 times. Find the probability that: a) You get 10 heads b) You get at most 4 tails. c) You get at least 8 heads 4.) In a multiple choice quiz, there are 10 questions. Each question has 4 answer choices. The passing score on the quiz is 60%. John did not study for the quiz and has to randomly choose each answer on the quiz. Find the probability that John passes the quiz. rted Colors na 5. The history data of an airline company show that 5% of the people that book a flight do not show up. If 42 people made a booking for a flight with a 40-seat small plane, what is the probability that there will be a seat available for every passenger that shows up? 6. Jennifer is going to Myrtle Beach for the month of July (31 days) on vacation. It rains 36% of the time in Myrtle Beach. Find the mean and the variance for the number of days it rains in July in Myrtle Beach. 7. 2% of teddy bears made are defective. A random sample of 200 teddy bears is selected. Find the mean and the standard deviation of the number of defective teddy bears in the sample