The American Trends Panel (ATP) is a national, probability-based online panel of adults living in households in the United States. The following data come from Wave 64 of the panel, which was conducted from March 19, 2020 to March 24, 2020. The Wave 64 survey focused on how Americans felt about and experienced the coronavirus pandemic at that time. The following table shows summary data for the Mental Health Index (MHI) scores for respondents, organized by political party identification. A higher score indicates that a respondent experienced more mental health issues in the past 7 days, including anxiety, hopelessness, and trouble sleeping. Mental Health Index (MHI) Scores Democrats Independents Republicans Other Political Affiliation Мean 9.67 8.83 8.07 9.06 Standard Error 0.05 0.06 0.06 0.10 Median 9 8 7 8 Mode 5 5 Standard Deviation 3.32 3.18 2.94 3.44 Sample Variance 11.02 10.13 8.62 11.85 Kurtosis -0.16 0.37 1.13 0.13 Skewness 0.65 0.90 1.21 0.88 Range 15 15 15 15 Minimum 5 5 Maximum 20 20 20 20 Sum 39279 29508 22797 9853 Count 4062 3340 2825 1087
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.
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