1) An 8-card hand is dealt from a standard deck of 52 playing cards. What is the probability that:
a) you are dealt at most 2 spades?
b) you are dealt exactly 1 king?
2) The lengths of full-grown emerald tree boas from the Amazon River Basin are known to be normally distributed with a mean of 7.6 feet and a standard deviation of 0.45 feet. What is the probability that a randomly selected boa will:
a) be at least 7 feet long?
b) be less than 6.5 feet long or more than 8.75 feet long?