The Mayon Clinic gets medical supplies delivered from two sources, Medex and ProMed. There is a probability of 60 percent that the order consists of medical supplies from Medex. According to the case, 20 percent of all medical supplies produced at Medex are defective and only 10 percent of the medical supplies from ProMed are defective. a. Construct a probability tree for this problem. b. Construct a probability table for this problem. c. Find the probability that the medical supplies come from Medex and are defective. d. Given that you have a defective medical supply, what is the probability that it came from ProMed? Please provide the answers in excel and provide an explanation with formulas
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.
Tree diagram
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.
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