Question: If X is normally distributed, calculate:

a. P(9.5 < x < 11.5) where \({{\mu }_{X}}\) = 9.8 and \({{\sigma }_{X}}\) = 3.

b. P(x > 1200) where \({{\mu }_{X}}\) =1100 and \({{\sigma }_{X}}\) = 100.

c. P(124 < x < 146) where \({{\mu }_{X}}\) = 138 and \({{\sigma }_{X}}\) = 10.