Assume that the variable under consideration has a density curve. The area under the density curve that lies between 18 and 22 is 0.625. What percentage of all possible observations of the variable are either less than 18 or greater than 22?
I believe it's 0.625
I think not
62.5 % is inside
the rest is outside
so what percent is outside ?
To find the percentage of all possible observations that are either less than 18 or greater than 22, we need to find the area under the density curve outside the interval 18 to 22.
Given that the area under the density curve between 18 and 22 is 0.625, we can calculate the area outside this interval by subtracting 0.625 from 1 (since the total area under the curve is always 1).
So, the area outside the interval 18 to 22 is 1 - 0.625 = 0.375.
To find the percentage, we multiply this area by 100:
0.375 * 100 = 37.5%
Therefore, 37.5% of all possible observations of the variable are either less than 18 or greater than 22.
Ummhhh, if .625 or 62.% of the area is between 18 and 22
how much of the area would you think lies outside that boundary??