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:

.

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 :

.

.

.

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

.

32

step-by-step explanation: