Binomial Distribution - Applied Statistics - Lecture Slides, Slides of Psychology

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Binomial Distribution

Binomial Distribution

• 5 Conditions that need to be met:
  • 1. There is a series of N trials
  • 2. For each trial there are only two possible outcomes
  • 3. For each trial, the two outcomes are mutually exclusive

Example: Flipping a Coin

• Each flip is a particular trial
• Only 2 possible outcomes
• Mutually exclusive – only a head or tail can occur
• Independent – outcome of one flip doesn’t affect any other flips

Example: Flipping a Coin

p(head) = p(H) = number of outcomes classifiable as heads Total number of outcomes (^1) = 0. 2

p(tail) = p(T) = Number of outcomes classifiable as tails Total Number of outcomes

= 1 0. 2

=

=

Binomial Distribution

• The distribution may be given for any N, P and Q
• The distribution is symmetrical
• As N increases, the distribution approximates a normal curve

Binomial Table

• Table shows the results for the binomial expansion - Solved for various values of N, P, and Q - Solved for various numbers of P or Q events - The table can be used with P or Q