A new process you developed needs to be stopped on average $3$ times per $10-$day period due to a quality control issue.

a$.$ What is the probability that your process will need to be stopped more than $150$ times during a year? $($Assume that it is not a leap year.$)$

b$.$ What is the probability that if your process has just restarted after a stop, the next quality control problem will only occur after $5$ days?

c$.$ The process that is currently used as the industry standard process had $151$ quality control stops in the previous year. Do you think your process is better than the current standard one? Why?