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Math Help - Binomial Probability on graphing calculator

  1. #1
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    Thumbs down Binomial Probability on graphing calculator

    These questions are to be done on a graphing calculator. The questions give n, p, x but I am having difficulty figuring out what is what.

    1. In a history class, Colin and Diana both write a multiple choice quiz. There are 10 questions. Each question has five possible answers. What is the probability that:
    a) Colin will pass the test if he guesses an answer to each question.
    b) Diana will pass the test if she studies so that she has a 75% chance of answering each question correctly.

    I really don't have a clue on how to approach these types of questions, any help would be really appreciated

    thanks
    ~G
    Last edited by the-G; December 27th 2007 at 09:38 PM.
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  2. #2
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    Quote Originally Posted by the-G View Post
    These questions are to be done on a graphing calculator. The questions give n, p, x but I am having difficulty figuring out what is what.

    1. In a history class, Colin and Diana both write a multiple choice quiz. There are 10 questions. Each question has five possible answers. What is the probability that:
    a) Colin will pass the test if he guesses an answer to each question.
    b) Diana will pass the test if she studies so that she has a 75% chance of answering each question correctly.

    I really don't have a clue on how to approach these types of questions, any help would be really appreciated

    thanks
    ~G
    You must use the three-prong approach:

    1. Define the random variable.

    2. State the distribution the random variable follows.

    3. Write down a probability statement of the problem.

    a)
    1. Let C be the random variable number of answers Colin gets correct.

    2. C ~ Bin(n = 10, p = 1/5)

    3. Pr(C \geq 5) = ?

    Depending on the type of graphics calculator you have, you might need to re-write Pr(C \geq 5) as 1 - Pr(C \leq 4)


    b)
    is left for you.
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