Question

I’m another normally distributed test score is 80 and the standard deviations is 10. How common are values in the less than 60? Show your work

Answer 1

Answer:

The probability of obtaining a score less than 60 is 2.28%

It happens 2 out of 100 times.

Step-by-step explanation:

If the mean μ = 80 and the standard deviation σ = 10, then we need to find the probability that an X value is less than 60.

Then we find

$P(X$

To find this probability we use the Z statistic.

$Z = \frac{X- \mu}{\sigma}$

$P(\frac{X- \mu}{\sigma}$

$P(Z$

This is the same as

$P(Z> 2)$

We look for this value in the table for the normal distribution of right queue and we have:

$P(X 2) = 0.02275$

The probability of obtaining a score less than 60 is 2.28%

It happens 2 out of 100 times.