Answer:
The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%
Step-by-step explanation:
Given that
Mean = μ = 15 points
SD = σ = 3 points
For calculating probability for a data point, first of all we have to calculate the z-score of the value.
We have to find the probability of score greater than 24, then the z-score of 24 is:
z-score = (x-μ)/σ
z = (24-15)/3
z = 9/3
z = 3
Now we have to use the z-score table to find the probability of z<3 then it will be subtracted from 1 to find the probability of z>3
So,
Converting into percentage
0.0013 * 100 = 0.13%
Hence,
The probability that in a randomly selected game, the player scored greater than 24 points is 0.0013 or 0.13%