Ans:
Given that
mean=12
and
standard deviation=sqrt(49)=7
a)
z=(5-12)/7
z=-1
P(z>-1)=0.8413
b)
z(4)=(4-12)/7=-1.14
z(16)=(16-12)/7=0.57
P(-1.14<z<0.57)=P(z<0.57)-P(z<-1.14)
=0.7156-0.1271=0.5885
c)
z=(8-12)/7=-0.57
P(z<-0.57)=0.2843
d)
z=(20-12)/7=1.14
P(z<1.14)=0.8729
e)
z=(16-12)/7=0.57
P(z>0.57)=0.2843
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