A company producing printed circuit boards uses a c

$-$

chart with an

$$

$=$

$2$

$.$

$7$

$5$

$$to monitor the lamination process. The process is in

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control, and the data show that the

average number of defects per inspection unit of

$1$

$0$

$0$

$$boards is

$2$

$.$

$5$

$.$

$$Unknowingly$,$ the process average shifts to

$4$

$$due to using new vendor materials. What is the

probability the shift will be caught on the next sample?

$0$

$,$

$8$

$8$

$9$

$3$

$0$

$.$

$1$

$1$

$0$

$7$

$0$

$,$

$1$

$0$

$1$

$2$

$0$

$,$

$7$

$1$

$4$

$9$