The ages of the 32 recruits in police academy are normally distributed with a mean of 27 with a standard deviation of 2. approximitally how many recruits are 29 years old?

                                                    _
Since it's a sample size, we use x, as the mean and s= standard deviation
            _
Given:  x =27, s = 2 and total sample = 32.
How many recruits are 29 year old?

Let's calculate the Z score :
              _
         X - x              29 - 27
Z =  → Z =  → Z = 1 (now look up in the Z score table,
           s                      2

P(Z=1) =0.8643 ,
Estimated number = 0.8643 x 32 = 28 recruits approx

The slope of the function is 0.5.