Suppose that Z is a value drawn from the standard Normal dis

Suppose that Z is a value drawn from the standard Normal distribution. For what number a will 53% values of Z satisfy Z

Solution

A.

Z~N(0,1)

P(Z<a)=0.53

a=0.0752699

B.

P(-b<Z<b)=0.89

=>2P(Z<b)-1=0.89

=>P(Z<b)=0.945

b=1.59819