Suppose that a students verbal score X from next years Gradu

Suppose that a student\'s verbal score X from next year\'s Graduate Record Exam can be considered an observation from a normal population having mean 496 and standard deviation 90. Find P[X > 582]. Round the answers to four decimal places.

Solution

We first get the z score for the critical value. As z = (x - u) / s, then as          
          
x = critical value =    582      
u = mean =    496      
          
s = standard deviation =    90      
          
Thus,          
          
z = (x - u) / s =    0.955555556      
          
Thus, using a table/technology, the right tailed area of this is          
          
P(z >   0.955555556   ) =    0.169648412 [ANSWER]