Q3. The table below is two-by-two table that shows one of the key findings from investigation of carbon monoxide poisoning following an ice storm and prolonged power failure in Maine. In the table, the exposure variable, location of power generator, has two categories- inside or outside the home. Similarly the outcome variable, carbon monoxide poisoning, has two categories-cases(number of persons who become ill) and controls(number of persons who did not become ill).

Generator location		Number OF
A	Cases (Person ill)	Control (Not ill)	Total
Inside home or Attached structure	23	23	46
Outside home	4	139	143
Total	27	162	189

A) Given that a person is ill(case in the table), what is the probability that this person has the generator inside the home?

B) Are the events that "a person becomes ill"(Event A) and "this person has the generator inside the home"(Event B) independent?

C) Are the events that " a person becomes ill"(Event A) and "this person has the generator inside the home"(Event B) mutually exclusive?

Q4. Assume that a drug causes a serious side effect at a rate of one patient per one hundred. A random selected sample of 12 patients are taking the drug. Consider the number of people having side effects within these 12 patients as a random variable.

1. Explain why this random variable follows a binomial distribution?

Q5. A teacher draws a sample of nine 12 year-old children from the school's population and records their heights in centimeters. The average height is 120 centimeters, and the standard deviation is 5 centimeters for these nine children. Assume that the population of heights have normal distribution where both mean() and standard deviation() are unknown.

A) Is it safe to assume the sampling distribution of the height for nine randomly selected people approximately normal? Why or Why not?

B) Construct a 95% CI for the population mean height of 12 year old.