The approximate probability that the mean salary of 100 players is no more than $3.0 million is 0.0151.
We follow these steps to arrive at the answer:
We have
Population Mean (μ) = $3.2 million
Sample Mean (X bar) = $3.0 million
Population Standard Deviation (σ) = $1.2 million
Sample Size (n) = 100
We use the following formula to find the Z score with the data listed above:



We can refer to the Z tables or use an online calculator to find an area under the normal curve.
Since we need to find the probability that mean salary is no more than $3.0 million, we need to find the area to the left of the calculated Z score.
