Consider a normal distribution curve where the middle 35 of

Consider a normal distribution curve where the middle 35 % of the area under the curve lies above the interval ( 2 , 17 ). Use this information to find the mean, , and the standard deviation, , of the distribution.

a) =  

b) =

Solution

Consider a normal distribution curve where the middle 35 % of the area under the curve lies above the interval ( 2 , 17 ).

Thus, using empirical rule,

(Mu, mu+ sigma)=(2,17)

Thus, mu=2, sigma=15