Additional Exercise answers

Sampling methods

sampling method definition application
Random Sampling Each member from a population has an even chance of being picked Best used when you have a smaller dataset.
Simple Random Sampling Each sample from a population has an even chance of being picked Larger population and you can make sure samples have an even chance of being picked.
Systematic Sampling Choose some starting point then select every kth element in the population. If the data is random and there is no pattern.
Convenience Sampling Easiest way to get data. -
Stratified Sampling Divide data into two groups and select samples from each subgroup. When you can divide your data into mutually exclusive subgroups you can take samples from.
Cluster Sampling Divide population into clusters and randomly select some clusters (and all people from those clusters). Best for large, spread out populations and/or populations that naturally form into clusters.
Voluntary response sample Subjects decide themselves whether to be included in the sample. When only the sample group that is more inclined to respond matters.

Formulas

probability

addition rule

Note - If A and B are Independent $P(A\cap B)=0$

multiplication rule

Note - If A and B are independent $P(B|A)=P(B)$

probability distribution

requirements probability distribution

parameters for a frequency distribution