Suppose that 5 percent of the population of a certain town contracted the COVID19 virus. There is a medical diagnostic test for detecting the disease. But the test is not very accurate. Historical evidence shows that if a person has the virus, the probability that her/his test result will be positive is 0.9. However, the probability is 0.15 that the test result will be positive for a person who does not have the virus. Define clearly the events before you answer the following For a person selected randomly from the town, the test result was What is the probability that the person has the Corona virus? What is the difference between the probability found in the previous question and the 5%? 3. How do we call the two probabilities? For a person selected randomly from the town, the test result was What is the probability that the person has the Corona virus? For a person selected randomly from the town, the test result was What is the probability that the person does not have the Corona virus?
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
Suppose that 5 percent of the population of a certain town contracted the COVID19 virus. There is a medical diagnostic test for detecting the disease. But the test is not very accurate. Historical evidence shows that if a person has the virus, the
- Define clearly the
events before you answer the following
- For a person selected randomly from the town, the test result was What is the probability that the person has the Corona virus?
- What is the difference between the probability found in the previous question and the 5%?
3. How do we call the two probabilities?
- For a person selected randomly from the town, the test result was What is the probability that the person has the Corona virus?
- For a person selected randomly from the town, the test result was What is the probability that the person does not have the Corona virus?
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