Question

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

Answer 1

To find the probability of a football player weighing more than 241.25 pounds, calculate the z-score and use the standard normal distribution table.

Step-by-step explanation:

To find the probability of a football player weighing more than 241.25 pounds, we need to calculate the z-score and then use the standard normal distribution table.

The formula for calculating the z-score is: z = (x - μ) / σ where x is the player's weight, μ is the mean weight, and σ is the standard deviation.

Plugging in the values, we get: z = (241.25 - 200) / 25 = 1.65

Using the standard normal distribution table, we can find that the probability of a value being greater than 1.65 is approximately 0.0495.

Answer 2

the answer is 245.23 pounds