Radius of a circle if area is 64cm

P(-3.0 < z < 3.0) = 0.9974

Step-by-step explanation:

Mean = 5

Standard Deviation = 0.25

We need to find P(4.25 <x<5.75)

z = x - mean/standard deviation

z = 4.25 - 5/0.25

z = -3.0

z = x - mean/standard deviation

z = 5.75 - 5/0.25

z = 3.0

So, P(4.25 <x<5.75) P(-3.0 < z < 3.0)

Finding values from the z-score table

P(z<-3.0) = 0.0013

P(z<3.0) = 0.9987

P(-3.0 < z < 3.0)=P(z<3.0) - P(z<-3.0)

P(-3.0 < z < 3.0) = 0.9987 - 0.0013

P(-3.0 < z < 3.0) = 0.9974