A Study Was Conducted Among a Certain Group of Union

question 55

Short Answer

A study was conducted among a certain group of union members whose health insurance policies required second opinions prior to surgery. Of those members whose doctors advised them to have surgery, 20% were informed by a second doctor that no surgery was needed. Of these, 70% took the second doctor's opinion and did not go through with the surgery. Of the members who were advised to have surgery by both doctors, 95% went through with the surgery.
What is the probability that a union member who had surgery was advised to do so by a second doctor? If necessary, round your answer to two decimal places.
The probability is __________.

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Definitions:

Debt

A sum of money lent by one party to another, which has to be repaid at a future date, typically with added interest.

Debt Ratio

A ratio that evaluates how much a business relies on debt financing, calculated through the division of the company's total liabilities by its total assets.

Interest Rate

The amount charged by lenders to borrowers for the use of assets, expressed as a percentage of the principal.

ROE

Return on Equity (ROE) is a financial ratio that measures the profitability of a company in relation to the equity of its shareholders.