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Joe Average 219.9 - STD Dev 15.88 - total games 2,667 Probability of scoring over 260

Joe Average 219.9 - STD Dev 15.88 - total games 2,667

Probability of scoring over 260

Math   Statistics-And-Probability   
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Answer #1

Let X be the score of Joe

Therefore

,

n=2667

The probability that Joy score over 260 is given by:

​​​​​​

Since sample size is large, according to central limit theorem the sampling distribution is approximately normal distribution.

Therefore



Since

Therefore the probability of scoring over 260 is almost zero.

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