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4.3 Discrete Probability Distributions

4.3 Discrete Probability Distributions. Binomial Distribution Success or Failure Probability of EXACTLY x successes in n trials P(x) = nCx (p) ˄x(q)˄(n-x) P(x) = Binompdf ( n,p,x ). Discrete Probability Distributions. Geometric Distribution

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4.3 Discrete Probability Distributions

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  1. 4.3 Discrete Probability Distributions Binomial Distribution Success or Failure Probability of EXACTLY x successes in n trials P(x) = nCx(p)˄x(q)˄(n-x) P(x) = Binompdf(n,p,x)

  2. Discrete Probability Distributions Geometric Distribution Probability that the FIRST success is on the xth trial P(x) = p(q)˄(x-1) P(x) = geometpdf(p,x)

  3. Example • The probability you will make a sale on a phone call is .23. Find the probability you will make your first sale on the 4th or 5th call.

  4. Discrete Probability Distributions Poisson Distribution The probability of x OCCURRANCES in an interval P(x) = (μᵡe ᶹ)/x! E≈2.72 2ndln ˄ (1) Calculator: P(x) = ((μ˄x)e˄(-μ))÷x! P(x) = poissonpdf(μ,x)

  5. Example • The mean # of accidents per month at an intersection is 3. What is the probability that in any given month 4 accidents will occur here?

  6. Example • A population count shows that there is an average of 3.6 rabbits per acre living in a field. Find the probability that 2 rabbits are found on any given acre of the field.

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