The physics scores of 200 students follow a normal distribution with a mean of 75 and standard deviation of 7. which conclusion is best supported by this information?
a. about 32 students have a score higher than 89.
b. about 5 students have a score higher than 89.
c. about 100 students have a score higher than 89.
d. about 4 students have a score lower than 89.
e. about 32 students have a score lower than 89.

About 5 students have a score higher than 89.

Step-by-step explanation:

Given : The physics scores of 200 students follow a normal distribution with a mean of 75 and standard deviation of 7.

To Find: Which conclusion is best supported by this information?

Solution:

Mean =

Standard deviation =

n = 200

Formula :

Substitute the values.

So, P(z<2)=0.9772

So, P(z<89)=

So, 195 students have score less than 89

So, Remaining 5 students have score higher than 89.

So, Option B is true.

Hence About 5 students have a score higher than 89.

goog may have it for you