Originally Posted by
Oblivionwarrior Thanks. I have another quick question. It isn't related to one posted earlier. I want to know if I am doing this correctly.
Assume X is normally distributed with a mean of 13 and a standard deviation of 2. Determine the value for x that solves each of the following
If the question asks P(X > x) = 0.95
My steps(not sure if they are correct)
P(X > x) = 0.95
1 - P(X < x) = 0.95
1 - P(Z < (x - 13)/2) = 0.95
P(Z < (x - 13)/2) = 0.05
now, looking at the z-chart to find the value which corresponds to the probability 0.05 I find it to be approximately -1.64. So,
(x - 13)/2 = -1.64, x = 9.72
Are these steps correct? Or is something wrong? Thanks.