A Table of Joint Probabilities Is Shown Below Calculate P $A _ { 1 }$

question 6

Essay

A table of joint probabilities is shown below. $$\begin{array} { | c | c | c | c | } \hline & A _ { 1 } & A _ { 2 } & A _ { 3 } \\\hline B _ { 1 } & 0.15 & 0.25 & 0.20 \\\hline B _ { 2 } & 0.10 & 0.15 & 0.15 \\\hline\end{array}$$ Calculate P( $A _ { 1 }$ | $B _ { 1 }$ ).

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Definitions:

Sleep

A naturally recurring state of mind and body characterized by altered consciousness, reduced sensory activity, and inhibition of nearly all voluntary muscles.

Psychoanalytic

Relating to a method of psychological theory and therapy that aims to treat mental disorders by investigating the interaction of conscious and unconscious elements in the mind.

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In psychoanalysis, the underlying meaning or symbolic content of a dream, as opposed to its literal storyline.

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A series of thoughts, images, and sensations occurring in a person's mind during sleep, often studied in psychology to understand subconscious desires and processes.