The CDC has reported that 3% of all patients that have taken the COVID-19 vaccines have some side effects. The institution further stated that the side effects are normal signs that the body is building protection. To confirm this affirmation, a local laboratory chooses 5 individuals at random who took the vaccine.

a. What is the probability that none of the individuals will experience side effects?

b. What is the probability that at least 2 individuals will experience side effects?

c. Calculate the expected value and standard deviation for the number of persons that will experience side effects?