The laboratory testing process for an intensive care unit is normally distributed with an average turnaround time of $36\mathrm{.}5$ minutes and a standard deviation of $9$ minutes. The upper acceptable limit requested by the intensive care unit for the laboratory testing process is $40$ minutes.

Q$1\mathrm{.}1-$ What is the upper capability measure of this laboratory testing process?

Q$1\mathrm{.}2-$ What is the probability that the turnaround time of the laboratory testing process is longer than its upper specification limit$?$

Q$1\mathrm{.}3-$ The lab managers are interested in lowering the variability of the lab testing to achieve a higher Upper Capability Measure. What would the standard deviation of the process need to be in order to double the Upper Capability Measure?

Q$1\mathrm{.}4-$ If$,$ on the other hand, the lab managers were interested in reducing the probability of exceeding the upper specification limit by half, what would the standard deviation of the process need to be reduced to$.$