Cysts ​ After Researching Cysts of a Particular Type,a Doctor

question 201

Essay

Cysts
​ After researching cysts of a particular type,a doctor learns that out of 10,000 such cysts examined,1,500 are malignant and 8,500 are benign.A diagnostic test is available which is accurate 80% of the time (whether the cyst is malignant or not).The doctor has discovered the same type of cyst in a patient. ​ ​
-{Cysts Narrative} What is the probability that the patient has a benign tumor if he or she tests positive?

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Definitions:

Oxygen

A chemical element vital to most life forms on Earth; it is a key component of the air and is crucial for cellular respiration.

Diffusion

Diffusion is the passive movement of molecules or particles from regions of higher concentration to regions of lower concentration until equilibrium is reached.

Hypertonic

A hypertonic solution has a higher concentration of solutes compared to the inside of a cell, causing water to move out of the cell and leading to cell shrinkage.

Hypotonic

Solution that causes cells to swell.