Answer to: Explain, in detail, conditional probability. Provide an example to support your explanation. By signing up, you'll get thousands of...
We can say two events {eq}A \ \& \ B {/eq} to be conditionally independent with a given event {eq}E {/eq} with {eq}P(E)>0 {/eq} if {eq}P(A\cap B|E)=P(A|E)P(B|E) {/eq}. From the definition of conditional probability, we have {eq}P(A|B)=\dfrac{P(A\cup B...
In the next section, we will go through how to implement the PDP and ICE techniques using the Partial Dependence Plot with AutoML (Regression) workflow as an example. Figure 3: The Partial Dependence Plot with AutoML (Regression) workflow, available on the KNIME Hub. We choose “Big Mart ...
As an example of the effect of kernel spectrum on double-descent, consider a power law \({\bar{\eta }}_{K}={K}^{-s}\) where s≥ 1. Then \({\tilde{\lambda }}_{L}={L}^{s}\left(\zeta (s,L)+\lambda \right)-1\approx \frac{L}{s-1}+\lambda {L}^{s},\ \ (L\...
if the benefit from the public good varies as a nonlinear function of the number of cooperators, then the switching gains may vary such that—at certain cooperator frequencies—the social dilemma is absent entirely. For example, in the threshold PGG (Fig.1), a public good is provided when...
For example, the estimated coefficient on Rev (Illiq) is negative (positive), suggesting that cryptocurrencies with higher Rev (Illiq) values tend to earn lower (higher) subsequent returns, and consequently they can be thought of as being more overpriced (underpriced). Therefore, at the end of...
Say for example we first want to lookup the divisor from a key-value table, then perform a division with it and finally compute the square root of the quotient:findDivRoot :: Double -> String -> [(String, Double)] -> Maybe Double findDivRoot x key map = case lookup key map of ...
This has implications for our understanding of BIS-anxiety and associated traits (e.g., neuroticism), suggesting that manipulations of uncertainty (for example, through information about behaviour of others or through the probability of punishment for free riding) can have as large effect on ...
Can a probability be greater than one? Why or why not? What would a real-world example be of how to determine the conditional probability of event A given event B. List the five steps and propose probabilities for each event A and B. Work through the steps to find the condit...
Suppose U has a uniform distribution on (0, 1), and X = 1/(1 - U). (a) Find the probability density function of X. (b) What is E(X)? Explain how to create a conditional probability using a matrix. Consider the probability density function for f x where f x a bx2 for x 0...