The following table reflects the observations made on the color and type of vehicie, if a speeding tícket was recelved (1) or e warning (0), and if there was e prior driving violetion (yes or no). Using the naive Beyes calculation what is the conditional probability of receiving a ticket with a red vehicie given a prior driving violetion. Assume predictor veriables are independent. Color Ticket Туре SUV Prior Yes Red No Red Sport Sport SUV No Green Red
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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was a prior driving violation (yes or no). Using the naive Bayes calculation, what is the conditional probability of receiving a ticket with a red vehicle
given a prior driving violation. Assume predictor veriables are independent.
Prior
Color
Ticket
Туре
SUV
Yes
Red
Red
Sport
Sport
No
No
Green
No
Red
SUV
No
Black
SUV
Sport
Sport
No
Red
Yes
Red
Sport
SUV
Yes
Black
1.
No
Green
Black
SUV
1.
Yes"
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0.53
0.40
0.75"
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