ESS210B
Prof. Jin-Yi Yu
Example 1
Given a normal distribution with
m
= 50 and
s
= 10, find the probability
that X assumes a value between 45 and 62.
The Z values corresponding to
x
1
= 45 and
x
2
= 62 are
Therefore,
P(45 <
X
< 62)
= P(-0.5 <
Z
< 1.2)
= P(Z <1.2) – P(Z<-0.5)
= 0.8849 – 0.3085
= 0.5764