Suppose X ~ N(8.5, 2.5) and P(x >11)=.13
What is the probability P(8.5, x, 11)
The probability P(8.5, x, 11) can be found by subtracting the probability P(x > 11) from the total probability of the distribution.
First, let's calculate the area under the normal curve to the right of x = 11:
P(x > 11) = 0.13
To find P(8.5, x, 11), we subtract P(x > 11) from 1 (since it represents the complement of P(x > 11)):
P(8.5, x, 11) = 1 - P(x > 11) = 1 - 0.13 = 0.87
Therefore, the probability P(8.5, x, 11) is 0.87.