According to a report of the National Foundation for Infectious Diseases, 46% of all college students in the US receive the flu vaccine.

Suppose that 6college students are selected at random.

Let X =the number of college students who are vaccinated in a random sample of 6college students.

a.) 1. What is the distribution of X? Be specific: Provide the name of the distribution and the values of the appropriate parameters.

2.What is the expected value of X? What is the standard deviation of X? For each of these numerical summaries, provide the symbol, value, and units.Be sure to also include supporting work.

Be sure to clearly label your answer as part 1 and part 2.

b.) After reading the report released by the National Foundation for Infectious Diseases, you find it hard to believe that only 46% of college students get the flu vaccine; after all, the colleges and universities are constantly offering incentives such as free food, gift cards, etc.

You decide to conduct a brief survey.In anew random sample of 30 students, all 30 said that they got the flu vaccine.Do the results of your study make you doubt the value of 46% reported by the National Foundation for Infectious Diseases?

Provide a written response to address this question and include appropriate numerical support.