Problem

When Noah goes bowling, his scores are normally distributed with a mean of 135 and a standard deviation of 12 . What is the probability that the next game Noah bowls, his score will be less than 140 , to the nearest thousandth?

Answer

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Answer

\( P(Z < \frac{5}{12}) \)

Steps

Step 1 ：\( Z = \frac{X - \mu}{\sigma} \)

Step 2 ：\( Z = \frac{140 - 135}{12} \)

Step 3 ：\( P(Z < \frac{5}{12}) \)

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