Question

If the optimistic time, most likely time and pessimistic time for activity A are 7, 8 and 9 days respectively and for activity B are 6, 7.5 and 12 days respectively, then :

• A. Expected time of both the activities A and B will be same
• B. Expected time of activity B is greater than the expected time of activity A
• C. Expected time of activity A is greater than the expected time of activity B
• D. None of the above

Answer 1

The correct option is A Expected time of both the activities A and B will be same

For activity A

$t_o=7\text{days}$

$t_m=8\text{days}$

$t_p=9\text{days}$

$\text{Expected time}=\frac{t_0+4t_m+t_p}{6}$

$=\frac{7+4\times 8+9}{6}=8\text{days}$

For activity B

$t_o=6\text{days}$

$t_m=7.5\text{days}$

$t_p=12\text{days}$

$\text{Expected time}=\frac{6+4\times 7.5+12}{6}$

$=8\text{days}$

Hence, the expected time of both activity A and B will be the same.