A Probability Distribution Has a Mean of 46 and a Standard

question 171

Essay

A probability distribution has a mean of 46 and a standard deviation of 3.
Use Chebychev's inequality to estimate the probability that an outcome of the experiment lies between 16 and 76. Give your answer to four decimal places, if necessary.
At least __________
Use Chebychev's inequality to estimate the probability that an outcome of the experiment lies between 34 and 58. Give your answer to four decimal places, if necessary.
At least __________

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Definitions:

Esophagus

The muscular tube that connects the throat (pharynx) with the stomach, allowing for the passage of food.

Trachea

The windpipe, a tube that connects the larynx to the bronchi of the lungs, providing a path for air to enter and exit the lungs.

Thoracic Cavity

The chamber of the body protected by the rib cage, containing the lungs and heart among other organs.

Liver

A vital organ that performs critical functions including detoxification, protein synthesis, and production of biochemicals necessary for digestion.