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  2. Chebyshev's inequality - Wikipedia

    en.wikipedia.org/wiki/Chebyshev's_inequality

    For example, it can be used to prove the weak law of large numbers. Its practical usage is similar to the 68–95–99.7 rule , which applies only to normal distributions . Chebyshev's inequality is more general, stating that a minimum of just 75% of values must lie within two standard deviations of the mean and 88.89% within three standard ...

  3. USC study finds connection between pollution and decreased ...

    www.aol.com/usc-study-finds-connection-between...

    The LA Post shares insights from a recent USC study that revealed that exposure to air pollution can harm children's learning and memory.

  4. Markov's inequality - Wikipedia

    en.wikipedia.org/wiki/Markov's_inequality

    [1] It is named after the Russian mathematician Andrey Markov , although it appeared earlier in the work of Pafnuty Chebyshev (Markov's teacher), and many sources, especially in analysis , refer to it as Chebyshev's inequality (sometimes, calling it the first Chebyshev inequality, while referring to Chebyshev's inequality as the second ...

  5. Air pollution - Wikipedia

    en.wikipedia.org/wiki/Air_pollution

    PM 2.5 exposure, such as from car exhausts, activates dormant mutations in lung cells, causing them to become cancerous. [206] [205] Unprotected exposure to PM 2.5 air pollution can be equivalent to smoking multiple cigarettes per day, [207] [dead link ‍] potentially increasing the risk of cancer, which is mainly the result of environmental ...

  6. 68–95–99.7 rule - Wikipedia

    en.wikipedia.org/wiki/68–95–99.7_rule

    The usefulness of this heuristic especially depends on the question under consideration. In the empirical sciences , the so-called three-sigma rule of thumb (or 3 σ rule ) expresses a conventional heuristic that nearly all values are taken to lie within three standard deviations of the mean, and thus it is empirically useful to treat 99.7% ...

  7. Particulates - Wikipedia

    en.wikipedia.org/wiki/Particulates

    Particulates or atmospheric particulate matter (see below for other names) are microscopic particles of solid or liquid matter suspended in the air.The term aerosol refers to the particulate/air mixture, as opposed to the particulate matter alone, [1] though it is sometimes defined as a subset of aerosol terminology. [2]

  8. Continuous uniform distribution - Wikipedia

    en.wikipedia.org/wiki/Continuous_uniform...

    The standard uniform distribution is a special case of the beta distribution, with parameters (1,1). The sum of two independent uniform distributions U 1 (a,b)+U 2 (c,d) yields a trapezoidal distribution, symmetric about its mean, on the support [a+c,b+d]. The plateau has width equals to the absolute different of the width of U 1 and U 2. The ...

  9. Mortgage and refinance rates for Dec. 18, 2024: Average ... - AOL

    www.aol.com/finance/mortgage-and-refinance-rates...

    A mortgage point could cost 1% of your mortgage amount, which means about $5,000 on a $500,000 home loan, with each point lowering your interest rate by about 0.25%, depending on your lender and loan.