The probability that a person selected at random from a population wil

signokodo7h

signokodo7h

Answered question

2021-11-17

The probability that a person selected at random from a population will exhibit the classic of a centrain disease is 2, and the probability that a person selected at random has the disease is 23. The probability that a person who has the symptom also has the disease is 18. A person selected at random from the population does not not have the symptom.
What is the probability that the person has the disease?

Answer & Explanation

William Yazzie

William Yazzie

Beginner2021-11-18Added 20 answers

Step 1
Probability quantifies the chances of happening an event. The probability values always lie in the range 0 and 1.
An event is a subset of the sample space. Sample space consist the set of all possible outcomes and the probability of sample space is 1. Conditional probability is the probability of occurrence of an event with some association with other events.
Step 2
Let S be the event that randomly selected person has symptom and D be the event that a randomly selected person has a disease. Then P(SD) indicates the probability that an randomly selected person shown symptom and has disease. It is given that P(S)=0.2, P(D)=0.23, P(SD)=0.18
The complement of S indicates that a randomly selected person does not have symptoms, that is
P(Sc)=1P(S)=0.8 Then,
P(DSc)=P(D)P(SD)
=0.230.18
=0.0625
So 0.0625 is the required probability.

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