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: 0.3413Step-by-step explanation:Given :Mean : [tex]\mu=60\text{ weeks}[/tex]Standard deviation : [tex]\sigma = 5\text{ weeks}[/tex]The formula for z -score :[tex]z=\dfrac{x-\mu}{\sigma}[/tex]For x= 60 , [tex]z=\dfrac{60-60}{5}=0[/tex]For x= 65 , [tex]z=\dfrac{65-60}{5}=1[/tex]The p-value = [tex]P(0<z<1)=P(z<1)-P(z<0)[/tex][tex]= 0.8413447-0.5= 0.3413447\approx0.3413[/tex]Hence,  the probability that the project will take anywhere between 60 and 65 weeks to complete = 0.3413.