Homework Answers
Given that, Mean = m = 25 weeks
Standard Deviation = SD = 3 Weeks
For 22 weeks,
Z value = (22 – m) / SD
= (22 – 25) / 3 = -1.00
Using Normal distribution table,
Probability (Z < -1.00) = 0.1587
For 28 weeks,
Z value = (28 – m) / SD
= (28 – 25) / 3 = 1.00
Using Normal distribution table,
Probability (Z < 1.00) = 0.8413
The probability that project will be completed between 22 and 28 weeks
= Probability (Z < 1.00) - Probability (Z < -1.00)
= 0.8413 – 0.1587
= 0.6826
= 68.26%
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