I have 2 questions I am not sure how they get the answer.
1) GPA's at a university follow a normal distribution with mean 2.84 and standard deviation of 0.46. What is the probability a random sample of 4 students has a mean GPA of greater than 3? The answer is 0.2420 but I have no idea how they got the answer.
2) A hockey player scores a goal in 43% of his games, his team wins 65% of the games played, the player scores a goal and the team wins in 31% of the games. What is the probability the team wins if the player does NOT score a goal? The answer here is 0.5965 but again no idea how they got it
I would be so greatful if someone gave me the solution of how they came to those answers