A specific genetic mutation has been found to occur in about $1$ out of $1000$ persons. A screening test has been developed for this genetic mutation. The test is highly accurate but also produces false positive and false negative results. When administered, the test produces positive result $99\mathrm{.}5\%$ of the time for persons in whom the genetic mutation is present, with $0\mathrm{.}5\%$ negative. For persons given the screening test who do not actually