22% of household are turned to the television show NBC Sunday Night Football. An advertiser wants to obtain a second opinion by conducting its own survey, and a pilot survey begins with 30 households having TV sets in use at the time of that same NBC Sunday Night Football broadcast. a) Find the probability that none of the household are tuned to NBC Sunday Night Football. b) Find the probability that at least three households are tuned to NBC Sunday Night Football. c) Find the probability that more than 20 households are tuned to NBC Sunday Night Football.
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.
Q2. 22% of household are turned to the television show NBC Sunday Night Football. An
advertiser wants to obtain a second opinion by conducting its own survey, and a pilot survey
begins with 30 households having TV sets in use at the time of that same NBC Sunday Night
Football broadcast.
a) Find the
b) Find the probability that at least three households are tuned to NBC Sunday Night
Football.
c) Find the probability that more than 20 households are tuned to NBC Sunday Night
Football.
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