$(8$ points$)$ In lecture, examples were shown on how to calculate the points of operating curves assuming the lot size, $N,$ is finite. For this exercise, assume $N$ is infinite. Suppose now that a quality engineer samples $50$ units from an infinite lot size and the engineer would like to calculate a point of the operating characteristic curve for an acceptance number $2.$ Calculate the point at which the lot proportion of defectives, $p,$ equals $0\mathrm{.}06.$