Question

Consider a project that has an expected completion time of 60 weeks and a standard deviation of five weeks. What is the probability that the project will take anywhere between 60 and 65 weeks to complete? (Round to two decimals.)

Answer 1

Answer: 0.3413

Step-by-step explanation:

Given :Mean : $\mu=60\text{ weeks}$

Standard deviation : $\sigma = 5\text{ weeks}$

The formula for z -score :

$z=\dfrac{x-\mu}{\sigma}$

For x= 60 ,

$z=\dfrac{60-60}{5}=0$

For x= 65 ,

$z=\dfrac{65-60}{5}=1$

The p-value = $P(0$

$= 0.8413447-0.5= 0.3413447\approx0.3413$

Hence,  the probability that the project will take anywhere between 60 and 65 weeks to complete = 0.3413.