It is known that a certain prescription drug produces undesirable side effects in 29% of all patients who use it. Among a random sample of ten patients using the drug, find the probability that:
a) Exactly 3 patients will experience side effects.
b) At most 5 patients will experience side effects.
c) More than 7 patients will experience side effects.
d) What is the mean and standard deviation of the number of patients experiencing side effects?