An express delivery service advertises next-day delivery of any parcel it receives before 3PM. The actual success rate is 90%. A random sample of 16 parcels were chosen:
a. Calculate the probability that all 16 were delivered by the next day.
b. What is the probability that 12 or fewer were delivered on time?
(Please show your work and please no short cuts. It's really important that I know how to do this step by step. Thank you.)
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