Question

For a normally distributed variable, what is the relationship between the percentage of all possible observations that lie to the right of 7 and the area under the associated normal curve to the right of 7? What if the variable is only approximately normally distributed?

Short answer

The relationship between the percentage of all posible observations that lie to the right of 7for a normally distributed variable and the area under associated normal curve to the right of 7 are equal.

If the distribution is approxiately normally distributed, then the relationship between the percentage of all possible distributions that lie to the right of 7for a normally distributed variable and the area under associated normal curve to the right of 7 are approximately equal.

Step-by-step solution

Step 1. Given Information.

A normally distributed variable.

Step 2. Reason.

The relationship between the percentage of all posible observations that lie to the right of 7for a normally distributed variable and the area under associated normal curve to the right of 7 are equal.

If the distribution is approxiately normally distributed, then the relationship between the percentage of all possible distributions that lie to the right of 7for a normally distributed variable and the area under associated normal curve to the right of 7 are approximately equal.