Probability of Population

A research study indicates that 16% of the total population are more than 70 years old. Of those more than 70 years old, 65% have a measurable hearing defect.

Find the probability that a person chosen at random from the population is more than 70 years old given that the person has no measurable hearing defect.

(Round off your answer to 2 decimal places)


The answer is 0.18.

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1 solution

Dhira Tengara
Feb 1, 2016

P(More than 70 years old)=16%

P(More than 70 years old that has no measurable hearing defect)=1-(65%)(16%)=89.6%

P(More than 70 years old|The person has no measurable hearing defect)=(16%)/(89.6%)

                                                                                                                                                    =0.18

Your question asks for rounded off to 2 decimal places which comes out to be 0.06 (0.056 precisely)so I think you should either update your question or your answer.

Chaitnya Shrivastava - 5 years, 2 months ago

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How to get 0.06?

Dhira Tengara - 5 years, 2 months ago

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(16-16(.65))/100

Ashish Sacheti - 4 years, 11 months ago

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