3. There is a 6% chance that a vaccine will cause a certain side effect. A number of patients are (2 points) given the vaccine. We are interested in the number of patients vaccinated until the first side effect is observed. a) Define the random variable X. b) Verify that this setting is a geometric setting. c) Find the probability that the 5th patient is the first to experience a side effect. Construct a probability distribution table for X up through X=5. Please check with your instructor on how to submit your work d) How many patients would you expect to vaccinate before the first side effect is observed