Answer:
a. 6.27 minutes
Step-by-step explanation:
Assuming a normal distribution. In order to be sponsored, a player must have a z-score corresponding to the 10th percentile of the normal curve.
At the 10th percentile, the z-score is -1.28.
Mean = 12.56 minutes
Standard Deviation = 4.91 minutes
The minimum value of X required is:
[tex]z=\frac{X-\mu}{\sigma}\\ -1.28=\frac{X-12.56}{4.91}\\X= 6.27\ minutes[/tex]
The player would need to make a goal within 6.27 minutes to be sponsored by the puck company
