Homework Answers
Answer:
Given,
Mean = 2
Standard deviation = 2
a)
P(0 <= X <= 3)
= P( (0 - 2)/2 < (x-mu)/s < (3-2)/2)
= P(- 1 < z < 0.5)
= P(z < 0.5) - P(z < -1)
= 0.6914625 - 0.1586553 [from z table]
= 0.5328
b)
P(X > 2)
= P(z > (2-2)/2)
= P(z > 0)
= 0.5
c)
P(X < 1)
= P(z < (1 - 2)/2)
= P(z < - 0.5)
= 0.3085375 [from z table]
= 0.3085
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