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Biostatistics: Lecture 5 (Sample Space and Events)

  1. these are also called random experiments
    statistical experiments
  2. what are the characteristics of statistical experiments
    • 1. A listing of all outcomes is possible or at least conceivable.
    • 2. Any outcome cannot be predicted with certainty.
  3. sample space is denoted by what?
    S
  4. this is a set of all possible outcomes of a statistical experiment
    sample space
  5. this is a subset of a sample space and is denoted by any capital letter of the english alphabet except for S
    event
  6. an event can either be        or          
    simple or compound
  7. this is a set containing of only one element of the sample space
    simple event
  8. this can be expressed as the union of the simple events
    compound event
  9. this is a set that contains no element
    null or empty space
  10. what do you call two events that cannot occur simultaneously
    mutually exclusive events
  11. two events are              when there is no reason to expect one event rather than the other to occur

    :having the same probability of occurence
    equally likely events
  12. identify if mutually exclusive events or equally likely events:

    the event of choosing a male respondent and the event of choosing a pregnant respondent
    mutually exclusive events
  13. identify if mutually exclusive events or equally likely events:

    tossing a fair coin
    equally likely events
  14. identify if mutually exclusive events or equally likely events:

    tossing a fair, six-sided die
    equally likely events
  15. identify if mutually exclusive events or non mutually exclusive events:

    events of choosing a bag and color yellow
    not mutually exclusive events
  16. identify if mutually exclusive events or non mutually exclusive events:

    events of losing a game and scoring
    non mutually exclusive events
  17. identify if mutually exclusive events or non mutually exclusive events:

    the probability of choosing an ace or a queen from a standard deck of cards
    mutually exclusive events
  18. can an event be mutually exclusive and equally likely
    Equally likely events may be mutually exclusive or not mutually exclusive. ⇔ Mutually Exclusive events may be equally likely or not equally likely.
  19. this is a function whose value is a real number determined by each element ins a sample space
    random variable
  20. random variables can be          or             
    discrete or continuous
  21. this type of random variable have a countable number of outcomes
    discrete random variable
  22. this type of random variable have an infinite continuum of possible values
    continuous random variable
  23. this maps the possible values of x against their perspective probabilities of occurrence, P(x)
    probability function
  24. P(x) is a number from             to            
    0 to 1.0
  25. the area under a probability function is always       
    1
  26. this is the most important continuous probability distribution in the field of statistics
    normal distribution
  27. what do you call the bell-shaped curve graph of the normal distribution
    normal curve
  28. the normal distribution is also called                   
    Gaussian distribution
  29. the normal distribution is named after the mathematician          
    Carl Friedrich Gauss (1777-1855)
  30. what are the properties of the normal distribution
    • 1. It is symmetric with respect to a vertical axis passing through the mean µ.
    • 2. The mean, median, and mode are equal.
    • 3. The tails are asymptotic relative to the horizontal line.
    • 4. The total area under the normal curve and above the horizontal axis is 1 or 100%.
Author
aisbear
ID
364693
Card Set
Biostatistics: Lecture 5 (Sample Space and Events)
Description
Updated

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