Find the indicated area under the curve of the standard normal​ distribution; then convert it to a percentage and fill in the blank. About​ % of the area is between z1 and z1 ​(or within 1 standard deviation of the​ mean). About 68 nothing​% of the area is between z1 and z1 ​(or within 1 standard deviation of the​ mean).

68% of the area

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question:

By the Empirical Rule, 68% of the area is within 1 standard deviation of the mean.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!