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  2. Joint probability distribution - Wikipedia

    en.wikipedia.org/wiki/Joint_probability_distribution

    If the points in the joint probability distribution of X and Y that receive positive probability tend to fall along a line of positive (or negative) slope, ρ XY is near +1 (or −1). If ρ XY equals +1 or −1, it can be shown that the points in the joint probability distribution that receive positive probability fall exactly along a straight ...

  3. Archimedes's cattle problem - Wikipedia

    en.wikipedia.org/wiki/Archimedes's_cattle_problem

    Archimedes's cattle problem (or the problema bovinum or problema Archimedis) is a problem in Diophantine analysis, the study of polynomial equations with integer solutions. Attributed to Archimedes , the problem involves computing the number of cattle in a herd of the sun god from a given set of restrictions.

  4. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at the ...

  5. Covariance - Wikipedia

    en.wikipedia.org/wiki/Covariance

    For two jointly distributed real-valued random variables and with finite second moments, the covariance is defined as the expected value (or mean) of the product of their deviations from their individual expected values: [3] [4]: 119

  6. Likelihood function - Wikipedia

    en.wikipedia.org/wiki/Likelihood_function

    [I]n 1922, I proposed the term 'likelihood,' in view of the fact that, with respect to [the parameter], it is not a probability, and does not obey the laws of probability, while at the same time it bears to the problem of rational choice among the possible values of [the parameter] a relation similar to that which probability bears to the ...

  7. Bill Belichick reached out to Jets about their vacancy before ...

    www.aol.com/bill-belichick-reached-jets-vacancy...

    Bill Belichick contacted the New York Jets about their head coaching vacancy before accepting the job at North Carolina, according to a person familiar with the situation. The 72-year-old ...

  8. Celebrity Makeup Artist Molly Stern Opens Up About Parkinson ...

    www.aol.com/celebrity-makeup-artist-molly-stern...

    When celebrity makeup artist Molly Stern first felt her hands start to shake in March 2023, she chalked it up to too much caffeine.. She was on a work trip to Las Vegas with a client and she had ...

  9. Marginal distribution - Wikipedia

    en.wikipedia.org/wiki/Marginal_distribution

    Given a known joint distribution of two discrete random variables, say, X and Y, the marginal distribution of either variable – X for example – is the probability distribution of X when the values of Y are not taken into consideration. This can be calculated by summing the joint probability distribution over all values of Y.

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