In the project described below, consider only the path ABGH.

Compute the expected task time and variance.

optimistic most likely pessimistic expected s$2$

Task time time time time $($variance$)$

A $234$

B $468$

C $51219$

D $4612$

E $121522$

F $6921$

G $126$

H $3815$

a$.$ What is the expected path time for ABGH?

b$.$ What is the path standard deviation for ABGH?

c$.$ What is the probability that this path will be completed by day $22?$

d$.$ For what due date would the probability of completion be $95\%?($leave as a non whole number$)$