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The Probability Distribution for X Is as Follows x1012p(x)0.10.250.550.1\begin{array} { l | r r r r } x & - 1 & 0 & 1 & 2 \\\hline p ( x ) & 0.1 & 0.25 & 0.55 & 0.1\end{array}

question 39

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The probability distribution for X is as follows: x1012p(x)0.10.250.550.1\begin{array} { l | r r r r } x & - 1 & 0 & 1 & 2 \\\hline p ( x ) & 0.1 & 0.25 & 0.55 & 0.1\end{array} a. Find E[5X + 1].
b. Find V[5X + 1].


Definitions:

Availability Heuristic

A mental shortcut that relies on immediate examples that come to a person’s mind when evaluating a specific topic, concept, method, or decision.

Representativeness Heuristic

A cognitive shortcut used in decision-making that involves judging the likelihood of an event based on how closely it matches a prototype or stereotype.

Belief Perseverance

The phenomenon where individuals stick to their initial beliefs even when confronted with contrasting evidence.

Representativeness Heuristic

A cognitive shortcut that involves judging the likelihood of an event based on how closely it resembles a typical case.

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