Microbes in a certain colony exposed to radiation have a 1/6 chance of being
mutated.
a. If ten microbes from the colony are sampled, what is the probability that exactly 4
will be mutated?
b. If ten microbes from the colony are sampled, what is the probability that at most 4
will be mutated?
c. If microbe from the colony is examined one by one, what is the probability that the
first mutated microbe is the fifth one that is examined?
d. If microbe from the colony is examined one by one, what is the probability that the
fifth mutated microbes is the tenth one that is examined?