10 people are going to be vaccinated with a measles vaccine.The probability of getting measles after being vaccinated is .05. Assume this is the same for every person and that each person is independent from the other.We are interested in the number of people who get measles after vaccination.

a. Does this have the features of a Binomial experiment? Why?

b. Find the probability that no people get the measles after being vaccinated.

c. Find the probability that exactly 3 people get the measles after being vaccinated.

d. Find the probability that at least 1 person gets the measles after being vaccinated.

e. Check your answers (b-d) using excel.

f. A measles vaccine was used in a village in Mexico. The supervisor of the field workers who performed the vaccinations suspected that the field workers did not actually vaccinate the village but were loafing off because of the 58 children said to be vaccinated 5 became infected with measles. Find the probability of seeing these data or more unusual? In other words, find the probability of seeing 5 or more children getting infected after vaccination if chance alone were operating. (Use excel).Based on this answer, what would you tell the supervisor and why?