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

Explanation:

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

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

The formula for z -score :

`z=(x-\mu)/(\sigma)`

For x= 60 ,

`z=(60-60)/(5)=0`

For x= 65 ,

`z=(65-60)/(5)=1`

The p-value =
`P(0<z<1)=P(z<1)-P(z<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.