Problem $9-12($Algorithmic$)$

Assume that the activity time estimates $($in days$)$ for the swimming pool construction project are as follows:

Activity Optimistic Most Probable Pessimistic

A $234$

B $159$

C $249$

D $4710$

E $258$

F $345$

G $378$

H $168$

I $267$

What are the critical activities? If necessary, round your answers to two decimal places. If your answer is zero, enter $0.$

Activity Expected Time Variance

A fill in the blank $1$

$3$

fill in the blank $2$

$0\mathrm{.}11$

B fill in the blank $3$

$5$

fill in the blank $4$

$1\mathrm{.}78$

C fill in the blank $5$

$4\mathrm{.}50$

fill in the blank $6$

$1\mathrm{.}36$

D fill in the blank $7$

$7$

fill in the blank $8$

$1\mathrm{.}00$

E fill in the blank $9$

$5$

fill in the blank $10$

$1\mathrm{.}00$

F fill in the blank $11$

$4$

fill in the blank $12$

$0\mathrm{.}11$

G fill in the blank $13$

$6\mathrm{.}5$

fill in the blank $14$

$0\mathrm{.}69$

H fill in the blank $15$

$5\mathrm{.}5$

fill in the blank $16$

$1\mathrm{.}36$

I fill in the blank $17$

$5\mathrm{.}5$

fill in the blank $18$

$0\mathrm{.}69$

Earliest Latest Earliest Latest Critical

Activity Start Start Finish Finish Slack Activity

A fill in the blank $19$

$0$

fill in the blank $20$

fill in the blank $21$

$3$

fill in the blank $22$

fill in the blank $23$

B fill in the blank $25$

fill in the blank $26$

fill in the blank $27$

fill in the blank $28$

fill in the blank $29$

C fill in the blank $31$

fill in the blank $32$

fill in the blank $33$

fill in the blank $34$

fill in the blank $35$

D fill in the blank $37$

fill in the blank $38$

fill in the blank $39$

fill in the blank $40$

fill in the blank $41$

E fill in the blank $43$

fill in the blank $44$

fill in the blank $45$

fill in the blank $46$

fill in the blank $47$

F fill in the blank $49$

fill in the blank $50$

fill in the blank $51$

fill in the blank $52$

fill in the blank $53$

G fill in the blank $55$

fill in the blank $56$

fill in the blank $57$

fill in the blank $58$

fill in the blank $59$

H fill in the blank $61$

fill in the blank $62$

fill in the blank $63$

fill in the blank $64$

fill in the blank $65$

I fill in the blank $67$

fill in the blank $68$

fill in the blank $69$

fill in the blank $70$

fill in the blank $71$

Critical Path:

What is the expected time to complete the project? If necessary, round your answer to two decimal places.

E$($T$)=$ fill in the blank $74$

days

Based only on critical path, what is the estimated probability that the project can be completed in $25$ or fewer days?

Variance $=$ fill in the blank $75$

$.$ If necessary, round your answers to two decimal places.

Using the normal distribution, z $=$ fill in the blank $76$

$.$ If necessary, round your answers to two decimal places. If negative answer is required, enter the minus sign before the number.

Probability of $25$ days or less is fill in the blank $77$

$.$ If necessary, round your answers to four decimal places. Note: Use Appendix B to identify the probability.