A quality engineer took $40$ samples of $100$ transistors each from the output of an

assembly line. Each transistor was tested and the number of defectives in each sample is

recorded in the table below. Determine the control chart limits for a p$-$chart.

Sample

Number

Defective Sample

Number

Defective

$13211$

$22222$

$31232$

$44243$

$50254$

$62261$

$70272$

$85284$

$91290$

$102304$

$112313$

$121322$

$133334$

$143342$

$154351$

$165361$

$173373$

$183384$

$191394$

$208402$