Assume that the total score from both teams for college foot

Assume that the total score (from both teams) for college football games averages µ = 42 points per game, and that the distribution of total points is approximately normal with = 20.
What is the probability that a randomly selected game would have more than 60 points?

Solution

We first get the z score for the critical value. As z = (x - u) / s, then as          
          
x = critical value =    60      
u = mean =    42      
          
s = standard deviation =    20      
          
Thus,          
          
z = (x - u) / s =    0.9      
          
Thus, using a table/technology, the right tailed area of this is          
          
P(z >   0.9   ) =    0.184060125 [ANSWER]