Suppose That an Experiment Has Five Sample Points $E _ { 1 } , E _ { 2 } , E _ { 3 } , E _ { 4 } , E _ { 5 }$

question 128

Essay

Suppose that an experiment has five sample points, $E _ { 1 } , E _ { 2 } , E _ { 3 } , E _ { 4 } , E _ { 5 }$ , and that $P \left( E _ { 1 } \right) = .4$ , $P \left( E _ { 2 } \right) = .1 , P \left( E _ { 3 } \right) = .1 , P \left( E _ { 4 } \right) = .2$ , and $P \left( E _ { 5 } \right) = .2$ . If the events $A$ and $B$ are defined as $A = \left\{ E _ { 1 } , E _ { 2 } , E _ { 5 } \right\}$ and $B = \left\{ E _ { 2 } , E _ { 3 } , E _ { 5 } \right\}$ find $P ( A \cup B )$ .

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Definitions:

Larynx

The voice box located in the throat responsible for vocalization, breathing, and protecting the trachea against food aspiration.

Inhaled Dirt

Microscopic particles from the environment that are drawn into the respiratory system during breathing.

Bacteria

Microorganisms that are single-celled and can exist either as independent organisms or as parasites.

Epiglottis

A flap of cartilage located at the opening of the larynx, which closes during swallowing to prevent food and liquid from entering the airway.