Here are three pieces of information about a few different populations where we are interested in the proportion who vote "green". In each of the data, you must determine the probability that the sample share ports are a maximum of 7 percentage points * from the population share. A) The population consists of 6 people, of which 3 people vote "green". The sample consists of 2 people. b) The population consists of 200 people, of which 90 people vote "green". The sample consists of 10 people. c) The population consists of 10,000 people, of which 4200 people vote "green". The sample consists of 200 people. * Example: In the a-task, “the sample share ends up with a maximum of 7 percentage points from the population share” means that the sample share ends up between 43% and 57%. Explain a, b, c
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.
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