In order to find this probability, first let's find the value of z for this case, where:
[tex]z=\frac{x-\mu}{\sigma}[/tex]Using the mean = 89 and the std dev = 7, for x = 82 we have:
[tex]z=\frac{82-89}{7}=-1[/tex]Looking at the z-table for z = -1, we have a value of 0.1587.
So the probability of P(x<=82) is equal to 0.1587 (rounding, we have 0.16).
Therefore the correct option is A.
