Answer:
0.7698
Step-by-step explanation:
If you call your random variable  , then what you are looking for is
, then what you are looking for is

because you want the probability of  being <em>between 87 and 123.</em>
 being <em>between 87 and 123.</em>
We need a table with of the normal distribution. But we can only find the table with  and
 and  . Because of that, first we need to  <em>normalize </em>our random variable:
. Because of that, first we need to  <em>normalize </em>our random variable: 

(you can always normalize your variable following the same formula!)
now we can do something similar to our limits, to get a better expression:


And we transform our problem to a simpler one:
 
 
(see Figure 1) 
From our table we can see that  (this is represented in figure 2).
 (this is represented in figure 2). 
Remember that the whole area below the curve is exactly 1. So we can conclude that   (because 0.8849 + 0.1151 = 1). We also know the normal distribution is symmetric, then
 (because 0.8849 + 0.1151 = 1). We also know the normal distribution is symmetric, then 
 .
.
FINALLY:

 
 
        
             
        
        
        
I can't think of what the form is called, but the slope is in that equation.
y=mx+b
m is the slope and in that equation, m=-4/3
        
                    
             
        
        
        
Divide 3/4 by 1/8 and you should get 6 hurdles.