Question $5,$ Problem $3\mathrm{.}23$

Part $1$ of $5$

HW Score: $51\mathrm{.}41\%,10\mathrm{.}28$ of $20$ points

Points: $0$ of $3$

Using PERT, Adam Munson was able to determine that the expected project completion time for the construction of a pleasure yacht is $22$ months, and the project variance is $16.$

a$)$ The probability that the project will be completed in $6$ months $=($round your response to four decimal places$).$