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