[tutorials & resource material arranged by topic calc1   Probability Notes for Calc I

Welcome,

    This page was written when I included a sheet on the normal distribution in ReimannSums.gsp. These are listed below.

    All other pages and images and links were created in earlier works.



Facts About a Probality Distribution
  • There are many different probability distributions each describing a different situation.
  • The area under the curve, the sum of the probabilities, is equal to 1.
  • This is because the result of every situation must be included.
  • The probability of an event that does not happen is 0.
  • The results of flipping a coin n times is described by a binomial distribution.
  • The results in many situations -- length at birth, test scores, a large number of weights or ages or heights -- are "normal," or described by a normal distribution. The normal is often used to compute a binomial probability.





Probability Tables, Spread Sheets & Calculators

    Probability and cummulative probability tables have been used for many years, but, now spread sheets, computers, and calculator are used.



Computation, Graphing Support
Calculator Spread Sheet  Sketchpad Internet
     
Program Your TI84 Calculator to
"Take a Derivative at a point or Evaluate a Definite Integral"
     
On a TI83-84, Use MATH Functions or CALC Functions in GRAPH
     
statsc.xls - a spread sheet that computes means, standard deviations,
    z-scores, and probabilities, expected values
     
ReimannSums.gsp - Reimann Sums & Boxes - See sheet "cum" for
    p(a < x < b ) graphically and computationally.
     
fX.f'X.f''X.intX.gsp - Derivatives & Antiderivatives.
     
Derivative Calculator at https://www.derivative-calculator.net/
Integral Calculator at https://www.integral-calculator.com/



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