Answer:
.99815
which is about
99.815%
Step-by-step explanation:
we are looking for 35<x<77
We need to find (what I think is called) the z score which is acheieved through what I'm pretty sure is called standardizing
What we do is subtract the mean and then divide by the standard deviation
so for 35 we have
(35-56)/7= -3.29
due to the fact that the normal distribution is symmetric this is equal to 1-p(3.29)
to find p(3.29) grab a ztable and get p(3.29)= .9995
1-.9995= .0005
For 77 we have
(77-56)/7=3
grab a ztable and find the 3= .99865
Finally subtract these two to get the final answer
.99865-.0005= .99815
