Find the probabilites of each xvalue Please show your work T

Find the probabilites of each x-value                                                        Please show your work THANK YOU

Solution

Normal Distribution
Mean ( u ) =14
Standard Deviation ( sd )=2
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
a)
P(X > 15.5) = (15.5-14)/2
= 1.5/2 = 0.75
= P ( Z >0.75) From Standard Normal Table
= 0.2266  
b)
P(X < 11) = (11-14)/2
= -3/2= -1.5
= P ( Z <-1.5) From Standard Normal Table
= 0.0668                  
c)              
To find P(a < = Z < = b) = F(b) - F(a)
P(X < 10) = (10-14)/2
= -4/2 = -2
= P ( Z <-2) From Standard Normal Table
= 0.02275
P(X < 14.8) = (14.8-14)/2
= 0.8/2 = 0.4
= P ( Z <0.4) From Standard Normal Table
= 0.65542
P(10 < X < 14.8) = 0.65542-0.02275 = 0.6327