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Statistics - Normal distribution, finding probabilities

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Question :

During the past season, the number of points scored per game by the local pro basketball team was approximately normally distributed with mean =115 and standard deviation =12

(a) In what percent of their games did they score more than 115 points?
(b) If they played 120 games in approximately how many did they score
more than 95 points?
(c) What is the probability that a score selected at random will be larger than 125
points?

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The solutions to normal distribution and probabilities problems posted here are solved in the attached solution file with step by step explanation using all the required formulas and method in such a way that the student would easily understand the method of solving such problems and can use these solutions as model solutions to solve other similar problems on their own.

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