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Basic Stats Questions

 
 
Reply Fri 7 Mar, 2014 10:52 pm
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 Smile
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markr
 
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Reply Sat 8 Mar, 2014 02:08 pm
@blondeone,
2) You want the conditional probability P(win | ~score).

P(win | ~score) = P(win and ~score) / P(~score)
P(win and ~score) = P(win) - P(win and score) = .65 - .31 = .34
P(~score) = 1 - P(score) = 1 - .43 = .57
.34/.57 = 0.59649

If that still doesn't make sense, drawing a Venn diagram will probably help.
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