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 more than 241.25 pounds is
A) 0.4505
B) 0.0495
C) 0.9505
D) 0.9010

Question

Quizplus · Accepted Answer

To find the probability of a player weighing more than 241.25 pounds, we need to find the area under the normal curve to the right of 241.25. Firstly, we need to standardize this value:

z = (x - μ) / σ
z = (241.25 - 200) / 25
z = 1.65

We can then use a standard normal distribution table or calculator to find the probability of a z-score of 1.65 or greater, which is 0.0495 or approximately 0.05. Therefore, the answer is B.

The Weight of Football Players Is Normally Distributed with a Mean