Answer:
27 players are expected to be over 7 feet tall.
Explanation:
To find the number of players expected to be over 7 feet tall, we need to determine the number of standard deviations above the mean the height of 7 feet is.
7 feet is equal to 84 inches. The mean height of NBA players is 6 feet 8 inches, or 80 inches. So, 7 feet is 4 inches above the mean.
The standard deviation of the heights of NBA players is 3 inches, so the height of 7 feet is 4 / 3 = 1.33 standard deviations above the mean.
Using a standard normal distribution table, we can find that about 8.4% of the population falls 1.33 standard deviations or more above the mean.
Therefore, we can estimate that about 324 * 0.084 = 27 players are expected to be over 7 feet tall.