Several types of yogurt are sold in a small general store in New England. From a past study of customer selections, the owner knows that 20% of the customers ordered flavor A, 35%, flavor B, 18%, flavor C, 12%, flavor D, and the remainder, flavor E. Now the owner, who thinks that the customer preferences have changed, randomly samples 80 customers and finds that 12 prefer A, 16 prefer B, 30 prefer C, 7 prefer E, and the remainder prefer D. Determine if the custom- ers’ preferences have changed from the last study.
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.
Several types of yogurt are sold in a small general store in New England. From a past study of customer selections, the owner knows that 20% of the customers ordered flavor A, 35%, flavor B, 18%, flavor C, 12%, flavor D, and the remainder, flavor E. Now the owner, who thinks that the customer preferences have changed, randomly samples 80 customers and finds that 12 prefer A, 16 prefer B, 30 prefer C, 7 prefer E, and the remainder prefer D. Determine if the custom- ers’ preferences have changed from the last study.
Introduction
Hypothesis is an assumption that is being tested.
Assuming as it is the general value.
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