Question

The standard normal curve shown here is a probability density curve for a continuous random variable. This means that the area underneath the entire curve is 1. What is the area of the shaded region between the two z-scores indicated in the diagram?

A.0.6844
B.0.6958
C.0.1131
D.0.1151
E.0.6864

Answer 1

apex would be 0.6958

Answer 2

B. 0.6958

Explanation:

The probability that X is greater than any value is equal to the area under the normal curve bounded by that value and plus infinity.

Likewise, the probability that X is less than any value equal to the area under the normal curve bounded by that value and minus infinity.

So the area of the shaded region is,

`=P(-1.23<z<0.86)`

`=P(z<0.86)-P(z<-1.23)`

`=0.80511-0.10935`

`=0.69576\approx 0.6958`