a Given that X is N1036 draw the graph and show the area tha

a) Given that X is N(10,36) draw the graph and show the area that shows P(|X -10| < 12) = alpha

b) find alpha

N(10,36)

mean = 10

varience =36

s.d. = sqrt ( varience) =6

x=-2 then z= (-2-10)/6 = -2

x=22 then z= (22-10)/6 =2

P(mod (x-12)<10)) = P( -2 <x<22) = P( -2<z<2) = P(z<2) - P(z<-2) = 0.9772 - 0.0228 = 0.9544