1.Approximately 8.26% of patients in the Seasonal Effect data set contracted an SSI. If this happens completely randomly, in a random selection of 10, calculate the following probabilities, from a binomial distribution with parameters n=10 and p=0.0826. Show all work.

a.Identify the complement of {X1} and use the rule of complements to calculate the probability that at least 1 patient contracts an SSI, P(X1) (10%)

i.

b.probability that more than 1 but less than 5 patients contract an SSI, P(1

i.

2.In the Seasonal Effect data set, an average of 20 patients develop an SSI each month. For a randomly selected month in the year, calculate the following probabilities using the poisson distribution. Show all work.

a.Exactly 20 patients develop an SSI in the month, P(X=20) (10%)

i.

b.Use the cumulative distribution to calculate the probability that less than 10 patients develop an SSI in the month, P(X10) (10%)

i.