You are assessing food service process capability $($at $+/-3\backslash$sigma $,$ confidence level$)$ to serve broiled meat at the specified temperature of $149$ degrees F$,+/-3$ degrees. A sample of $"$n$"$ servings is taken, and it is found that the sample has a mean temperature of $147$ degrees F with a standard deviation of $1\mathrm{.}5$ degrees. Insert both your answers and your work in the file submitted with the last question $($do not say "see excel schedule"$)$ Insert $"2021"$ in the space below to close$-$out the question and move on$.(9$ points, $3$ each$).$

$($A$)$ Compute the capability index, and state if the process capable of meeting the specifications $($yes or no$)?$

$($B$)$ What is the probability that a serving of fish is undercooked?

$($C$)$ What is the probability that a serving of fish is overcooked?