Question

It is assumed that the test results for a math class in a University follow a normal distribution with a mean of 78 and a standard deviation of 16. What is the probability of a student obtaining the grade higher than 72?

Answer 1

µ =    78                  
σ =    16                  
                      
P ( X ≥   72.00   ) = P( (X-µ)/σ ≥ (72-78) / 16)  

           
= P(Z ≥   -0.375   ) = P( Z <   0.375   ) =    0.6462

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