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Binomial

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normalcdf(a,b,mean, stdev) (for between a and b) invNorm(p, mean, stdev) (for area to the left equal to p) Comparing Normal to Binomial ... – PowerPoint PPT presentation

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Title: Binomial


1
Binomial
  • Fixed number trials
  • Independent trials
  • Only two outcomes
  • p is constant
  • Calculator
  • binompdf(n,p,x) (for equal to)
  • binomcdf(n,p,x) (for less than or
    equal to)

2
Normal
  • Bell-shaped curve
  • Center is mean
  • Standard deviation controls spread
  • 68, 95, 99.7
  • Calculator
  • normalcdf(a,b,mean, stdev)
    (for between a and b)
  • invNorm(p, mean, stdev) (for
    area to the left equal to p)

3
Comparing Normal to Binomial
  • Differences
  • Similarities

4
Approximating Binomial with Normal
  • Decide whether this is a good idea
  • Figure out which normal curve to use
  • Dont forget the continuity correction

5
Exercise
  • P 227 Data and Probability Connections
    Mathematics for Middle School Teachers,
    Perkowski and Perkowski. Pearson Prentice Hall,
    NJ, 2007.

6
Sampling Distributions
  • Find a random sample
  • Statistic a number that describes the sample.
  • Statistics are random, too.
  • Mean
  • Standard Deviation

7
Population
8
Histogram of Population
9
Central Limit Theorem
  • http//kitchen.stat.vt.edu/sundar/java/applets/CL
    TApplet.html
  • http//bcs.whfreeman.com/pbs/cat_050/pbs/CLT-Binom
    ial.html

10
Homework
  • Data and Probability Connections p 233 number 20.
  • Data and Probability Connections p 262 numbers 5,
    9, and 10.
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