c Find a symmetric interval about the mean so that you can b

(c) Find a symmetric interval about the mean so that you can be 97% sure that X lies in that interval. In other words, find a so that

Let X be a normally distributed random variable with mean

Solution

a)z = (1-2)/3.2

p(x)=z(-0.3125)

b)z1=(0.625)

z2=(-0.3125)

the probability will be z1 and z2 ,check in the z-score chart