A grocery store owner wants the delivery of fresh bread from the bakery daily between 5:30 am and 6:30 am. The time take

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A grocery store owner wants the delivery of fresh bread from the
bakery daily between 5:30 am and 6:30 am. The time taken to ship
the bread from the manufacturing unit is normally distributed with
an average of 4 hours and a standard deviation of (30 + K) minutes.
Show your work for the following questions.
a. What is the process capability ratio of delivery process if
the truck leaves the bakery exactly at 2 am?
b. What is the process capability ratio of the delivery process
if the truck leaves at 2:15 am?
c. What process parameters do you suggest to attain a six-sigma
quality in the delivery process?
d. If the grocery store owner charges a late fee of £1 for every
minute of late delivery, i.e., later than 6:30 am, what are the
chances that the late fee will be more than £(40+K) for any given
day?
K = 4