You may need to use the appropriate appendix table or technology to answer this question. is probably of good quality and should be accepted. However, if a large number of defective units are found in the sample, the lot is probably of poor quality and should be rejected.

$($a$)$ What is the producer's risk for the $n=20,c=1$ sampling plan? $($Round your answer to four decimal places.$)$

$($b$)$ What is the consumer's risk for the $n=20,c=1$ sampling plan? $($Round your answer to four decimal places.$)$

$($c$)$ Does the $n=20,c=1$ sampling plan satisfy the risks requested by the quality control manager? Discuss. $($Select all that apply.$)$

The producer's risk is acceptable since it is less than $0\mathrm{.}10.$

The producer's risk is not acceptable since it is greater than $0\mathrm{.}10.$

The consumer's risk is acceptable since it is less than $0\mathrm{.}20.$

The consumer's risk is not acceptable since it is greater than $0\mathrm{.}20.$