Problem $2$

There are six process units in a chemical plant. The FARs for the units are given as follows:

$\backslash$table$[[$Process Unit,$1,2,3,4,5,6],[$FAR$,\mathrm{.}01,\mathrm{.}05,\mathrm{.}15,\mathrm{.}30,\mathrm{.}65,\mathrm{.}85]]$

Calculate:

$2\mathrm{.}1$ The overall FAR for the plant.

$2\mathrm{.}2$ If a worker A spends $10\%$ of the time in Unit $2,15\%$ in Unit $3,30\%$ in Unit $5,$ and the rest in Unit $1.$ What is the overall FAR in this case? In worker B spends $10\%$ of the time in Unit $1,35\%$ in Unit $3,10\%$ in Unit $5,$ and the rest in Unit $4.$ What is the overall FAR in this case? Which worker is at most risk? Why?

$2\mathrm{.}3$ If there are $1000$ workers in the plant, calculate the fatality rate for the whole plant.

$2\mathrm{.}4$ Calculate the fatality rate for worker B$,$ assuming that $45\%$ of the total workers follow this shift.

$2\mathrm{.}5$ If in Unit $5$ the number of lost workdays has been $2$ in the past $120$ days and the total workers in this Unit are $250,$ find the OSHA Incidence Rate based on lost workdays.