1) Suppose that 5% of cereal boxes contain a prize and the other 95% contain the message, "Sorry, try again." If a person buys 10 boxes,
a) What is the probability that she will get at least one prize?
b) What is the probability that she will get exactly 1 prize?
c) What is the probability that she will get the message "Sorry, try again," at least seven times?
d) What is the expected number of prizes?
e) What is the standard deviation of prizes?