Cell phones and surveys A 2010 study conducted bythe National Center for Health Statistics found that25% of U.S. households had no landline service. Thisraises concerns about the accuracy of certain surveys, asthey depend on random-digit dialing to households vialandlines. We are going to pick five U.S. households atrandom:a) What is the probability that all five of them have alandline?b) What is the probability that at least one of them doesnot have a landline?c) What is the probability that at least one of them doeshave a landline?
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.
Cell phones and surveys A 2010 study conducted by
the National Center for Health Statistics found that
25% of U.S. households had no landline service. This
raises concerns about the accuracy of certain surveys, as
they depend on random-digit dialing to households via
landlines. We are going to pick five U.S. households at
random:
a) What is the
landline?
b) What is the probability that at least one of them does
not have a landline?
c) What is the probability that at least one of them does
have a landline?
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