SOLUTION: Suppose the examination scores in a leaving cert subject can be modelled by a normal distribution with a mean of 62% and a standard deviation of 11%. Using this model (a) Find th

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose the examination scores in a leaving cert subject can be modelled by a normal distribution with a mean of 62% and a standard deviation of 11%. Using this model (a) Find th      Log On


   



Question 1102313: Suppose the examination scores in a leaving cert subject can be modelled by a normal distribution with a mean of 62% and a standard deviation of 11%. Using this model
(a) Find the percentage of students who get 90% or more.
(b) Find the percentage of students who fail, i.e get less than 40%.
(c) Tom discovered he scored in the 96th percentile on this exam. What score did he get?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
>(90-62/11 or 28/11 or >2.545.
That probability is 0.0055.
=============
z<(40-62)/11<-2
That probability is 0.0228
============
96%ile is z=+1.75
1.75=(x-62)/11
19.25=x-62
x=81.25% is the score