The mean weight of 500 college students is 70 kg and the standard deviation is 3 kg. Assuming that the weight is normally distributed, determine what percentage of students weigh over 75 kg.

Using the normal distribution, it is found that 4.75% of students weigh over 75 kg.

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

In this problem:

The proportion over 75 kg is 1 subtracted by the p-value of Z when X = 75, hence:

has a p-value of 0.9525.

1 - 0.9525 = 0.0475

0.0475 x 100% = 4.75%

4.75% of students weigh over 75 kg.

To learn more about the normal distribution, you can take a look at link

4.75%.

Step-by-step explanation:

Given: The mean weight of 500 college students is 70 kg and the standard deviation is 3 kg.

Let X be the number of students weight over 75 kg.

If the weight is normally distributed, then the probability that students weigh over 75 kg:

Hence, the  percentage of students weigh over 75 kg = 4.75%.

1.5%

step-by-step explanation: