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Assume that every time Jordan plays golf her score is normally distributed with mean 100 and...

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Statistics

  1. Assume that every time Jordan plays golf her score is normallydistributed with mean 100 and standard deviation 6.
    1. Jordan is playing golf with her friend Joey who gets a score of112. What is the probability that Jordan gets a score lessthan or equal to Joey's?
    2. Jordan is playing golf with another friend, Lillian, who gets ascore of 106. What is the probability that Jordan gets a scoregreater than or equal to Lillian's?
    3. For what number is there an 84% probability that Jordan willget a score less than or equal to it?HINT: For instance, 100 is the number that Jordanhas a 50% probability of scoring less than or equal to.
    4. These three friends decide to play four gamesof golf and record their average (mean) scores.Joey's average score is 94 and Lillian’s average score is 103. Whatis the probability that Jordan’s average score after playing fourgames of golf is between her two friends’ averagescores (greater than or equal to Joey’s and less than or equal toLillian’s)?

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