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Events, Sample Spaces, and Probability. Experiment---an act or process of observation that leads to a single outcome that cannot be predicted with certaintyObserving the up face when tossing a coinObserving the up faces on the toss of 2 coinsObserving the up face on a die toss. Events, Sample Spa
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1. Probability Want to be able to make inferences about a population from a sample or samples
Probability will allow inferences with a measure of reliability for the inferences
Initially, we will assume that the population is known and will calculate the probability of observing various samples from the population; i.e., use the population to infer the probable nature of the sample
2. Events, Sample Spaces, and Probability Experiment---an act or process of observation that leads to a single outcome that cannot be predicted with certainty
Observing the up face when tossing a coin
Observing the up faces on the toss of 2 coins
Observing the up face on a die toss
3. Events, Sample Spaces, and Probability Sample point---most basic outcome of an experiment
Observe H or T
Observe HH or HT or TH or TT
Observe 1 or 2 or 3 or 4 or 5 or 6
4. Events, Sample Spaces, and Probability Sample space---collection of all sample points for the experiment
S: {H,T}
S: {HH, HT, TH, TT}
S: {1, 2, 3, 4, 5, 6}
5. Events, Sample Spaces, and Probability