As the supervisor in charge of shipping and$$ receiving, you need to determine the average outgoing quality in a plant where the known incoming lots from your assembly line have an average defective rate of $4\mathrm{.}0\%.$ Your plan is to sample $80$ units of every $1,000$ in a lot. The number of defects in a sample is not to exceed $3.$ Such a plan provides you with a probability of acceptance of each lot of $0\mathrm{.}79(79\%).$

Part $2$

The average outgoing quality for the plant is$=$ enter your response here$\%($enter your response as a percentage rounded to two decimal$$ places$).$