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Given That X Is a Normally Distributed Random Variable with a Mean

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Given that X is a normally distributed random variable with a mean of 50 and a standard deviation of 2, find the probability that X is between 47 and 54.


Definitions:

Pathological Condition

Any state of disease or disorder in the body.

Destructive Tumor

A growth that invades and causes damage to surrounding tissues, often referred to as malignant or cancerous.

Anterior Pituitary

A gland located at the base of the brain that produces hormones regulating critical bodily functions, including growth and reproductive activities.

Adrenal Medullary Hormones

Hormones produced by the adrenal gland's medulla, such as adrenaline and noradrenaline, that are involved in stress responses.

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