Suppose X follows a normal distribution with = 50 and = 8. Calculate each of the following: show work Question 1: P(Xgt;44) Question 2: P(Xlt;66)...

Suppose X follows a normal distribution with µ = 50 and σ = 8. Calculate each of the following:

show work

Question 1:   P(X>44)                    

Question 2:   P(X<66)                

Question 3:   P(54<X<70)

Question 4:   P(38<X<62) 

Question 5:   P(X<36) 

Question 6:   P(X>68)