Stats Exam 2

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tenorsextets
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76299
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Stats Exam 2
Updated:
2011-03-30 19:55:19
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statistics stats exam probability
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  1. AND=
    OR=
    • Multiply, independent events?
    • Add, mutually exclusive?
  2. Fundamental Counting Rule
    In a sequence of events (like choosing what piece of clothes to wear), multiply the numbers together to get the total number of combinations possible.
  3. Permutations
    Key words
    • When order matters!
    • "arrange, order, rearrange, rank, sequence, in how many ways can things be ordered"
  4. Permutation formulas
    number of permutations of n objects: n! (arrange)

    • nPr= n!÷(n-r)! (selected piece and arrange them)
    • n= # of objects (bigger #)
    • r= selected # (smaller #)
  5. Combinations
    Key Words
    • Order doesn't matter!
    • "choose, select, team, committee"
  6. Combinations formula
    • nCr= n!÷(n-r)!r!
    • n= # of objects (bigger #)
    • r= selected # (smaller #)
  7. Pascals's triangle
    • 1
    • 1 1
    • 1 2 1
    • 1 3 3 1
    • 1 4 6 4 1
    • 1 5 10 10 5 1
  8. Probability of 0
    Probability of 1
    • 0= event never occurs
    • 1= event always occurs
  9. Drawing a sample space
    -tossing a coin
    -tossing 2 coins
    -rolling a die
    • -heads tails
    • -HH TT HT TH
    • -1 2 3 4 5 6
  10. Classical probability formula
    Prob.= (# of successful outcomes)÷(# of total outcomes)
  11. The Compliment
    • opposite of event
    • 1-fraction probability= compliment
  12. Mutually Exclusive
    2 events that can't occur at the same time, only use the word OR with this condition
  13. When things are not mutually exclusive
    add two conditions and subtract overlap

    • Example:
    • P(king) + P(club) - P(king of clubs)
    • 4/52 + 13/52 - 1/52
  14. Independent Events
    if event A doesn't affects the probability of event B

    P(A AND B)= P(A) • P(B)
  15. When events are not independent
    Don't forget to reduce the denominator by one for each next fraction because you wouldn't be returning "the marbles to the bag"
  16. When doing a tough word problem
    REWRITE THE QUESTION. Find out what you need and write out what you're finding the probability for.

    Example: P(1st yes AND 2nd yes AND 3rd yes)
  17. Conditional Probability
    conditional statement using the words "if" or "given that"
  18. Conditional Probability formula
    P(B given A)= P(A and B) ÷ P(A)

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