Stat 1102 lecture notes 3

Define experiment that is describe the process used

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Define experiment; that is, describe the process used to make an observation and the type of observation that will be recorded. List the sample points Assign probabilities to the sample points Determine the collection of sample points contained in the event of interest Sum the sample point probabilities to get an event probability o Combination rule Sample of n elements drawn from set of elements 3.2 Unions and intersections o Compound events Union outcomes in either A or B or both Intersection outcome in both A & B 3.3 Complementary Events
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o Event that A does not occur o All events not in A o Rule of complements Sum equals 1 3.4 Additive Rule and Mutually Exclusive Events o Events do not occur simultaneously o Additive rule Get compound probabilities for union of events 3.5 Conditional Probability o Event probability given another event occurred o Revise original sample space to account new information Eliminates certain outcomes 3.6 Multiplicative Rule and Independent Events o Used to get compound probabilities for intersection of events o Statistical independence Occurrence does not affect probability of another event Formula: Note: , where n P r is the formula for permutations of n objects taken r at a time. Example: How many different committees of 4 students can be chosen from a group of 15? Answer: There are possible combinations of 4 students from a set of 15. There are 1365 different committees.
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