Answer to Question #248078 in Electrical Engineering for Tee

Question

Using the CPA, the Deepwater Co. was able to determine that the expected completion
time for the construction of a racing yacht was 1 year 9 months and the project
variance was 4 months.
Find the probability that the project would be completed in
(a) 17 months
(b) 20months (hint: state your assumptions clearly

Answer 1

Part a

$Z score = \frac{x - μ}{ σ}\\ = \frac{17 - 21}{ 2}\\ = -2\\ P-value \space from \space Z-Table:\\ P(x<17) = 0.02275\\ P(x>17) = 1 - P(x<17) = 0.97725\\ P(17<x<21) = 0.5 - P(x<17) = 0.47725\\$

Part b

A probability distribution is used to define the potential values for each unknown variable in a simulation or assumption. The type of distribution you choose is determined by the variables surrounding it.

$Z score =\frac{ x - μ}{ σ}\\ =\frac{ 20 - 21}{ 2}\\ = -0.5\\ P-value \space from \space Z-Table:\\ P(x<20) = 0.30854\\ P(x>20) = 1 - P(x<20) = 0.69146\\ P(20<x<21) = 0.5 - P(x<20) = 0.19146$