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-   -   Domain and range (https://www.askmehelpdesk.com/showthread.php?t=335758)

  • Mar 30, 2009, 09:51 AM
    dbussing
    Domain and range
    Suppose a quarter is flipped three consecutive times. Let P(n) represent the probability of obtaining exactly n heads. There are 8 different possibilities.
    hhh, hht, hth, htt that, tth, or ttt Thus P(n) = number of time exactly n heads could appear
    -----------------------------------------------------
    8

    What is the practicle domain of this function
    What is practicle range
    Create a talbe of values tha tincludes every value form the practicle domain

    Not sure where to start.
  • Mar 30, 2009, 10:46 AM
    ebaines

    Start with understanding what "range" and "domain" mean. This is one of those problems where once you understand the vocabulary, figuring out the answer is pretty simple.

    The domain of a function is the set of values that are possible for the independent variable - in this case n. So here you need to determine what are the values for n that "work." For example: n could be 2 (meaning the probability of getting 2 heads in the 3 tosses), but it couldn't possibly be -2. So write down the possible values of n, and you have your domain.

    The range is the set of all possible resulting values of the function. So here that means the possible values of P(n). Since P(n) is a probability it could never be negative, and could never exceed 1, but I will leave it to you to get a bit more specific as to the true range for P(n).
  • Mar 31, 2009, 07:13 PM
    dbussing
    Thank you for your reply. The information is very helpful and easy to understand. I have a much better understanding of this question and much more.

    Quote:

    Originally Posted by ebaines View Post
    Start with understanding what "range" and "domain" mean. This is one of those problems where once you understand the vocabulary, figuring out the answer is pretty simple.

    The domain of a function is the set of values that are possible for the independent variable - in this case n. So here you need to determine what are the values for n that "work." For example: n could be 2 (meaning the probability of getting 2 heads in the 3 tosses), but it couldn't possibly be -2. So write down the possible values of n, and you have your domain.

    The range is the set of all possible resulting values of the function. So here that means the possible values of P(n). Since P(n) is a probability it could never be negative, and could never exceed 1, but I will leave it to you to get a bit more specific as to the true range for P(n).

  • Apr 1, 2009, 12:14 AM
    Capuchin

    And just because it's niggling at me - it's spelled practical.

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