Suppose that the mean daily viewing time of television is hours per household. use a normal probability distribution with a standard deviation of hours to answer the following questions about daily television viewing per household

General
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suppose that the mean daily viewing time of television is hours per household. use a normal probability distribution with a standard deviation of hours to answer the following questions about daily television viewing per household.

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Question: What is a normal probability distribution?

Answer: A normal probability distribution, also known as a Gaussian distribution, is a statistical distribution that is symmetric and bell-shaped. It is commonly used to model random variables in many fields, including probability theory, statistics, and natural sciences. The distribution is characterized by its mean (μ) and standard deviation (σ), which determine its shape and spread. In a normal distribution, the majority of the values are concentrated around the mean, with fewer values on the tails.

Question: What does it mean to use a normal probability distribution with a mean of hours and a standard deviation of hours?

Answer: In the context of daily television viewing per household, using a normal probability distribution with a mean of hours and a standard deviation of hours means that we are assuming that the amount of time spent watching television per household follows a normal distribution. The mean of hours represents the average viewing time, while the standard deviation of hours represents the dispersion or spread of the data. This distribution allows us to make probabilistic statements and answer questions about the likelihood of certain viewing times occurring.

Question: What questions can be answered using the normal probability distribution?

Answer: Using the normal probability distribution, we can answer various questions about daily television viewing per household. Some common questions include:

  1. What is the probability that a household watches television for a certain amount of time?
  2. What is the probability that a household watches television for more than or less than a certain amount of time?
  3. What is the range of values where a certain percentage of households fall within?
  4. How likely is it for a household to exceed or fall below a specific threshold of viewing time?
  5. How does the distribution change if we consider a different mean or standard deviation?

By utilizing the properties of the normal distribution, we can analyze and interpret data regarding daily television viewing habits.