Explain the ways to tell if you have to add or multiply probabilities. Conditional or not? Dependent or disjoint? Define what a probability is. Explain how to find the most likely number of wins in a binomial d
When do you add or multiply probabilities? Can the three rules in probability (i.e. addition, multiplication, and complement) be re-arranged to find variables? How do you know when to use each formula? When do you use the law of total probability or B...
Are probabilities additive or multiplicative? The generalmultiplicationrule. When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities. In some cases, the first event happening impacts the probability of the second event. We call these dependent events...
for binary, continuous and ordered categorical,mifits the Bayesian versions of the GLMs (bayesglm). These models are slightly different from the classical GLMs in that they add a Student’st-distribution on the regression coefficients. In the current study we used the default Cauchy distribution a...
since we may simply multiply by the reciprocal of the lower-bound and add one to realize the result. Next, we point out that there is some constant \(M > 0\) such that \(\vert \vert \nabla \ell (\theta )\vert \vert \le KM\). This follows by ...
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Hence the probabilities of winning or losing a dollar (i.e., the probabilities of moving one step up or down in the slope) do not necessarily add up to one, but loop probabilities of neither winning or losing a dollar need to be taken into account when estimating expected times (winning...