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Flashcards

Probability distribution

Vishal Patil Statistics Data Science With R English 6 cards

Probability distribution

Cards in this deck (6)

  1. 1Discrete Probability Distributionapplicable to the scenario where the set of possible outcomes is discrete, such as a coin toss or a roll of dice
  2. 2Continuous Probability Distributionapplicable to the scenarios where the set of possible outcomes can take on values in a continuous range (e.g., real numbers), such as the temperature on a given day
  3. 3Binomial distributionBinomial Formula. Suppose a binomial experiment consists of n trials and results in x successes. If the probability of success on an individual trial is P, then the binomial probability is:
    b(x; n, P) = nCx * P^x * (1 - P)^n - x
    or
    b(x; n, P) = { n! / [ x! (n - x)! ] } * P^x * (1 - P)^n - x
  4. 4Hypergeometric DistributionHypergeometric Formula. Suppose a population consists of N items, k of which are successes. And a random sample drawn from that population consists of n items, x of which are successes. Then the hypergeometric probability is:
    h(x; N, n, k) = [ kCx ] [ N-kCn-x ] / [ NCn ]
    Hypergeometric Distribution
  5. 5Negative Binomial DistributionNegative Binomial Formula. Suppose a negative binomial experiment consists of x trials and results in r successes. If the probability of success on an individual trial is P, then the negative binomial probability is:
    b*(x; r, P) = x-1Cr-1 * Pr * (1 - P)x - r
    Negative Binomial Distribution
  6. 6—

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Data Science With R Statistics (Inferential Statistics) Flashcards on Probability distribution, created by Vishal Patil on 10/05/2017.
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Vishal Patil
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