A production facility employs 15 workers on the day shift, 9 workers on the swing shift,...

A production facility employs 15 workers on the day shift, 9 workers on the swing shift, and 6 workers on the graveyard shift. A quality control consultant is to select 5 of these workers at random for in-depth interviews.

(a)	Find the number of outcomes in the event that all 5 of the selected workers come from the same shift.

(b)	Find the number of outcomes in the event that the sample of 5 workers contains at least one worker from each shift.

Solutions

Expert Solution

There are a total of workers. 5 workers can be selected from all the 30 workers in ways.

a) All 5 workers on the day shift in ways.

All 5 workers on the swing shift in ways.

All 5 workers on the graveyard shift in ways.

The required number of ways is

We select 5 workers from day shift + swing shift in ways.

We select 5 workers from day shift + graveyard shift in ways.

We select 5 workers from graveyard shift + swing shift in ways.

And using part (a), number of ways of selecting (only from 2 shits and only from 1 shit) is

The number of ways of selecting the sample of 5 workers contains at least one worker from each shift is

orchestra answered 1 year ago

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