1. Using the following table of randomly selected participants and their preferred soft drinks. Count 18 to 24 25 to 39 40 to 49 50 to 64 65 or more NET Соca-Cola 63 131 44 84 19 341 Diet Coke 33 24 18 12 89 Coke Zero 10 53 32 40 8 143 Pepsi Diet Pepsi 18 32 13 3 72 3 10 20 Pepsi Max 31 15 15 49 119 Dislike all cola Don't care 6 4 10 NET 99 268 156 221 56 800 Preferred cola by Age sample size = 800; 95% confidence level Find the following probabilities: a) P( pеpsi) %3D b) P( age 18 to 24) = c) P( pepsi and age 18 to 24)= d) P(pepsi | age 18 to 24)= e) Which drink was the most preferred and what is the probability of preferring that drink? 60n m
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.
- a) P( pepsi) =
- b) P( age 18 to 24) =
- c) P( pepsi and age 18 to 24)=
- d) P(pepsi | age 18 to 24)=
- e) Which drink was the most preferred and what is the
probability of preferring that drink?
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