Floretta's points per basketball game are normally distributed with a standard deviation of 4 points. If Floretta scores 10 points, and the Z-score of this value is - 4, then what is her mean points in a game? Do not include the units in your answer.
For example, if you found that the mean is 33 points, you would enter 33.

points.

Step-by-step explanation:

Let denote a normal random variable with mean and standard deviation . (That is: .) By definition, the -score of an observation with value would be:

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In this question, the value of is given. Also given are the value of the observation and the corresponding -score, . Rearrange the -score definition to find an expression for :

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.

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Substitute in the value of , , and to find the value of , the mean of this normal random variable:

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