The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.The probability of a player weighing less than 250 pounds is
A) 0.4772
B) 0.9772
C) 0.0528
D) 0.5000

Question

Quizplus · Accepted Answer

To find the probability of a player weighing less than 250 pounds, we need to find the area under the normal curve to the left of 250 pounds. First, we standardize 250 pounds using the formula z = (x - μ) / σ where x is the weight value, μ is the mean, and σ is the standard deviation.

z = (250 - 200) / 25 = 2

Next, we look up the probability associated with a z-score of 2 in the standard normal distribution table, which is 0.9772. Therefore, the probability of a player weighing less than 250 pounds is 0.9772.

The Weight of Football Players Is Normally Distributed with a Mean