Find the area under the standard normal curve between 139 an

Find the area under the standard normal curve between -1.39 and the mean p(-1.39 lessthan 2 lessthan 0.00) Find the area under the standard normal curve between -1.39 and the mean p(-1.39 lessthan Z lessthan 0.00)

Solution

Normal Distribution
Mean ( u ) =0
Standard Deviation ( sd )=1
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
To find P(a < = Z < = b) = F(b) - F(a)
P(X < -1.39) = (-1.39-0)/1
= -1.39/1 = -1.39
= P ( Z <-1.39) From Standard Normal Table
= 0.08226
P(X < 0) = (0-0)/1
= 0/1 = 0
= P ( Z <0) From Standard Normal Table
= 0.5
P(-1.39 < X < 0) = 0.5-0.08226 = 0.4177