A work sampling study was conducted to determine the proportion of the time a worker is idle. The following information was gathered on a random$$ basis:

$$ LOADING...

Day

Number of Times

Worker Idle

Total Number

of Observations

Monday

$10$

$44$

Tuesday

$20$

$59$

Wednesday

$6$

$44$

Thursday

$13$

$52$

Part $2$

a$.$ Based on these preliminary$$ results, what percent of the time is the worker$$ working?

The worker is working

$$

enter your response here$\%$ of the time. $($Enter your response rounded to two decimal$$ places.$)$

Part $3$

b$.$ If idle time is judged to be$$ excessive, what additional categories might you add to a$$ follow$-$up work sampling study to identify the root$$ causes? $($Mark all that$$ apply.$)$