A set of data is normally distributed with a mean of 28 and a standard deviation of 2. What is the probability that a value from the data is less than 22 or greater than 34?

a.

9%

c.

4.5%

b.

0.6%

d.

0.3%

Please select the best answer from the choices provided

A

B

C

D

And if we add the two values we got 0.00135+0.00135 = 0.0027 and in % would be 0.27% and rounded would be 0.3 %

d.  0.3%

D

Step-by-step explanation:

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

Where and

We are interested on this probability

We can find the individual probabilities. We can use the z score formula given by:

If we apply this formula to our probability we got this:

And if we add the two values we got 0.00135+0.00135 = 0.0027 and in % would be 0.27% and rounded would be 0.3 %

d.  0.3%

D

44

step-by-step explanation: