$($a$)$ According to the program evaluation review technique, if a project has an expected time ofQuestion $1$

$($a$)$ A Truck contains both hydraulic brakes with reliability $0\mathrm{.}95$ and mechanical brakes with

reliability $0\mathrm{.}98.$ Calculate the probability of stopping,

$($i$)$ rapidly at high speed, assuming both systems must work

$(3$ marks$)$

$($ii$)$ at low speed, assuming either system will stop the car

$(5$ marks$)$

$($b$)$ An engineered system has a hazard rate of $0\mathrm{.}01$ failure per hour. $(1)$ What is its MTBF

$($Mean time between failures$)?$ If the same system has an MTBM $($Mean time between

maintenance$)$ of $60$ hours, an MDT $($Mean down time$)$ of $20$ hours, and an MTTR $($Mean

time to Repair$)$ of six hours, then, calculate its $(2)$ inherent availability and $(3)$ operational

availability

$(7$ marks$)$

$($c$)$ For any engineering design of complex systems that you are familiar with, discuss the

importance of drawing$/$design release management processes involving design changes.

$(10$ marks$)$

completion $T_e$ of $45$ weeks with a standard deviation, $$ of $7$ weeks, calculate the probability

of completing it$,$

$($i$)$ within one year $(52$ weeks$)$

$(2$ marks$)$

$($ii$)$ within $38$ weeks

$(2$ marks$)$

$($b$)$ For a company or industry, the strategic management of technology is important. Describe

the technologies that are important for their strategic management of technology.

$(9$ marks$)$

$($c$)$ Given the project information in the Table Q$1$ below.

$($i$)$ Draw an arrow network diagram

$($ii$)$ Show a PDM diagram

$($iii$)$ Show all possible paths and identify the critical path