The expected project completion time for the construction of a pleasure yacht is

Question

The expected project completion time for the construction of a pleasure yacht is 21 months , and the project variance is 6. What is the probability that the project will require A. Require at least 17 months b. Be completed in 20 months C. Require at least 23 months? D. Be completed within 25 months ?
Use excel QM/Pom for excel please to show work . The expected project completion time for the construction of a pleasure yacht is 21 months , and the project variance is 6. What is the probability that the project will require A. Require at least 17 months b. Be completed in 20 months C. Require at least 23 months? D. Be completed within 25 months ?
Use excel QM/Pom for excel please to show work . A. Require at least 17 months b. Be completed in 20 months C. Require at least 23 months? D. Be completed within 25 months ?
Use excel QM/Pom for excel please to show work .

Explanation / Answer

Normal Distribution
Mean ( u ) =21
Standard Deviation ( sd )=2.45
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
a)
P(X < 17) = (17-21)/2.45
= -4/2.45= -1.6327
= P ( Z <-1.6327) From Standard Normal Table
= 0.0513                  
P(X > = 17) = (1 - P(X < 17)
= 1 - 0.0513 = 0.9487                  

b)
P(X < 20) = (20-21)/2.45
= -1/2.45= -0.4082
= P ( Z <-0.4082) From Standard Normal Table
= 0.3416                  

c)
P(X < 23) = (23-21)/2.45
= 2/2.45= 0.8163
= P ( Z <0.8163) From Standard Normal Table
= 0.7928                  
P(X > = 23) = (1 - P(X < 23)
= 1 - 0.7928 = 0.2072                  

d)
P(X < 25) = (25-21)/2.45
= 4/2.45= 1.6327
= P ( Z <1.6327) From Standard Normal Table
= 0.9487                  

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