STAT 1450 Chapter Notes - Chapter 13: Venn Diagram, Probability Theory, Conditional Probability
Document Summary
Connecting chapter 13 to our current knowledge of statistics. Probability theory leads us from data collection to inference. The introduction to probability from chapter 12 will now be fortified by additional rules to allow us to consider multiple types of events. The rules of probability will allow us to develop models so that we can generalize from our (properly collected) sample to our population of interest. Two events a and b are independent if knowing that one occurs does not change the probability that the other occurs. Thus, if a and b are independent, p(a and b) = p(a)*p(b) Example: someone with type o-negative blood is considered to be a universal donor. According to the american association of blood banks, 39% of people are type o-negative. P(both type o-negative) = p(first type o-) p(second type o-negative) Two-way tables are helpful ways to picture two events. Venn diagrams are an alternative means of displaying multiple events.