In a PERT problem our project has an expected completion time of $200$ days and a standard deviation of $11$ days. What is the probability of us finishing in $222$ days or sooner?

The normal curve data that we have been using comes from the chart on page $866($Table A in Appendix B$).$

Group of answer choices

$95\mathrm{.}8\%$

$97\mathrm{.}7\%$

$98\mathrm{.}3\%$

$98\mathrm{.}9\%$

$99\mathrm{.}2\%$