Explain the Role of Area in the Normal Density Function $\mu = 2200$

question 91

Short Answer

Explain the Role of Area in the Normal Density Function
-The weight of 2-year old hyraxes is known to be normally distributed with mean $\mu = 2200$ grams and standard deviation $\sigma = 365$ grams
(a) Draw a normal curve with the parameters labeled.
(b) Shade the region that represents the proportion of hyraxes who weighed more than 2930 grams.
(c) Suppose the area under the normal curve to the left of $X = 2930$ is $0.0228$ . Provide two interpretations of this result.

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Definitions:

Overeat

The consumption of food in quantities greater than the body's physical need, often leading to discomfort, weight gain, and health issues.

Anal Expulsive

A psychoanalytic concept suggesting a personality type that results from a child's experience during the anal stage of psychosexual development, often associated with messiness or disorganization.

Anal Retentive

Pertains to a personality trait characterized by orderliness, meticulousness, and a controlling attitude, believed by Freud to originate during the anal stage of psychosexual development.

Personality

The characteristic set of behaviors, cognitions, and emotional patterns that evolve from biological and environmental factors.