Exhibit 6-2
The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.
-Refer to Exhibit 6-2. 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. We can use a standard normal distribution table or a calculator to find this area. Using a calculator, we can standardize the value of 250 pounds as follows:

z = (x - μ) / σ 
z = (250 - 200) / 25 
z = 2

The area to the left of z = 2 in a standard normal distribution table is 0.9772. Therefore, the probability of a player weighing less than 250 pounds is 0.9772.

Exhibit 6-2 the Weight of Football Players Is Normally Distributed with a with a Mean