A component is classified as one of top quality, standard quality or substandard quality. The probabilities of classified components are respectively 0.09, 0.81 and 0.10. Construct the Venn diagram of the classified events that helping you its linkage to mutual or non-mutual events. i. What is the probability that a component selected at random is either top quality or standard quality? ii. What is the probability that a component selected at random is not top quality? iii. What concept of the events did you give to different components?
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.
. A component is classified as one of top quality, standard quality or substandard quality. The probabilities of classified components are respectively 0.09, 0.81 and 0.10. Construct the Venn diagram of the classified
i. What is the
ii. What is the probability that a component selected at random is not top quality?
iii. What concept of the events did you give to different components?
It is given that the probabilities of top quality, standard quality, and substandard quality are 0.09, 0.81, and 0.10, respectively.
From the given information,
Assuming that all three events are mutually exclusive events.
The Venn diagram of classified for all events for mutually exclusive events can be constructed as:
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