For questions 1 through 3 assume that X ~ Bin(11,0.81). 1) What is the expected value of X? 2) What is the variance and standard deviation of X? 3) What is P(X= 7)? D For questions 4 through 6 assume that Y~ Poisson(4.3). 4) What is the expected value of Y? 5) What is the variance and standard deviation of Y? 6) What is P(Y = 6)? Suppose the average number of Acute Myocardial Infarction Inpatient (AMI IP) hospitalizations per year was 30 for Benton County, Iowa. 7) Calculate the probability of 2 AMI IP hospitalizations in Benton County over the course of one month. 8) For a given month, what is the probability that there would be no AMI IP hospitalizations in Benton County? 9) What is the probability of exactly one AMI IP hospitalization in two months? 9) What is the probability of exactly one AMI IP hospitalization in two months? 10) What is the probability that across six months there would be zero months with no AMI IP hospitalizations? That is, all six months had at least one AMI IP hospitalization.