PLEASE SOLVE ONLY D SECTION a$)3$ job sampling will be done at a work site. The random numbers taken for this purpose are given as $0\mathrm{.}373,0\mathrm{.}520$ and $0\mathrm{.}936.$ Specify sampling times. $($Working hours: $08$:$30-17$:$30,$ there are tea breaks between $10$:$00-10$:$15$ and $15$:$00-15$:$15,$ and there is a lunch break between $12$:$00$ and $13$:$00.)(15$ points$)$

b$)$ Observations were made in the workplace and their distributions were obtained as follows.

$\backslash$table$[[$Type of Time,Number of Observation$],[$Bench running,$1212],[$Bringing workpiece,$65],[$Bringing the welding wire,$40],[$Repair$,28],[$Waiting the Pallet,$18],[$Power outage,$8],[$Change on work order,$15]]$

Is it sufficient to determine the vacancy rate with $68\%$ security level for deceleration due to workflow requirements? If not, what is the required number of observations? What is the reliability of the current situation? $(35$ points$)$

c$)$ If this work is to be done for $15$ days and in a system with $2$ machines, what should be the number of daily tours? If the performance factor is determined as $110\%$ and $33$ units were produced during the working period, what is the standard time of this work? $($Total shares $15\%(25$ points$)$

d$)$ Specify at least $5$ valid tour times from the following table of random hours and minutes. $($Tour time $15$min.$)(25$ points$)$

$\backslash$table$[[$Rand$,$Randor$],[\frac{?}{\text{b}\text{a}\text{r}}(10),27,31$