The random variable X is normally distributed with mean 45 and standard deviation a.Given that P(X>51)=0.288, find the value of a.

2 answers

http://davidmlane.com/hyperstat/z_table.html
x=(z-u)/sigma
then use the z table.
But remember the z table reads "less than" so you need to do 1 - that value found on the z table : )