A local courier service reports that 90% of bulk parcels within the same city are delivered on time. Seven parcels are randomly sent to different locations.
A) What is the probability that all seven arrive on time?
B) What is the probability that exactly five arrive on time?
C) What is the probability that no more than four arrive on time?
D) Find the mean number of parcels that will arrive on time.
E) Calculate the variance of the number of parcels that will arrive on time.
F) Determine the standard deviation.