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jesse1384
21.02.2020 •
Mathematics
A local project being analyzed by PERT has 42 activities, 13 of which are on the critical path. If the estimated time along the critical path is 105 days with a project variance of 25, what is the probability that the project will be completed in 95 days or less?
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Ответ:
the probability that the project will be completed in 95 days or less, P(x ≤ 95) = 0.023
Step-by-step explanation:
This is a normal probability distribution question.
We'll need to standardize the 95 days to solve this.
The standardized score is the value minus the mean then divided by the standard deviation.
z = (x - xbar)/σ
x = 95 days
xbar = mean = 105 days
σ = standard deviation = √(variance) = √25 = 5
z = (95 - 105)/5 = - 2
To determine the probability that the project will be completed in 95 days or less, P(x ≤ 95) = P(z ≤ (-2))
We'll use data from the normal probability table for these probabilities
P(x ≤ 95) = P(z ≤ (-2)) = 0.02275 = 0.023
Ответ:
At the end of 6 years Jin pays the amount $ 20,160 in total.
Step-by-step explanation:
The Principal Value(P) = $18,000
Time(T) = 6 years
Rate of Interest(R) = 2%
Simple Interest =![\frac{P \times R \times T}{100}](/tpl/images/0342/1537/f1a30.png)
So, SI =![\frac{18,000 \times 2 \times 6}{100}](/tpl/images/0342/1537/a172a.png)
= $2,160
So, the interest amount = $2,160
Now, total amount to be paid = Principal Value + Interest Value
Amount = $18,000 + $2,160 = $ 20,160
Hence, at the end of 6 years Jin pays $ 20,160.