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Thread: Experimental Outcomes

  1. #1
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    Experimental Outcomes

    Hi,
    Can you please check my answer for the question below:

    Investor ABC has two stocks: A and B. Each stock may increase in value, decrease in value, or remain unchanged. Consider the experiment of investing in the two stocks and observing the change (if any) in value.
    How many experimental outcomes are possible?
    Select one:
    a. 8
    b. 12
    c. 10
    d. 6
    e. 9
    Total Stocks: 2 (A & B) and each stock has 3 outcomes (increase in value, decrease in value, or remain unchanged)
    Therefore 3*3 = 9 Experimental Outcomes.

    How many experimental outcomes result in an increase of value for at least one of the stocks?
    Select one:
    a. 12
    b. 3
    c. 7
    d. 5
    e. 1

    How many of the experimental outcomes result in a decrease in value for both stocks?
    Select one:
    a. 12
    b. 5
    c. 7
    d. 3
    e. 1

    I can't seem to figure out the correct answer, I think its either 1 or 3?

    Please let me know.

    Thanks
    Last edited by scorpio2017; Mar 4th 2017 at 08:32 PM.
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  2. #2
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    Re: Experimental Outcomes

    1) 9 is correct

    2) code up the events as a base 3 number, with 0 being a loss, 1 no change, 2 a gain.

    how many of the 9 numbers have 1 or more 2's?

    3) this should be pretty obvious, how many of the 2 digit event codes are $00$
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  3. #3
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    Re: Experimental Outcomes

    Thanks for the feedback. I did a tree digram to get the visual. Correct me if I am wrong, but now i believe the answer for 2 should be (d.5) and 3 would be e.1
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  4. #4
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    Re: Experimental Outcomes

    Quote Originally Posted by scorpio2017 View Post
    Thanks for the feedback. I did a tree digram to get the visual. Correct me if I am wrong, but now i believe the answer for 2 should be (d.5) and 3 would be e.1
    correct
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  5. #5
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    Re: Experimental Outcomes

    Awesome, Appreciate your help with his. I have another question and hoping you could help me the same way.

    The Wildlife Research Institute conducted a survey to learn about whether or not people in certain regions of the country support wildlife. The data collected by the Institute are shown in the table below.
    Region Supports Wildlife
    Yes No Total
    1 250 100 350
    2 320 110 430
    3 560 150 710
    4 440 70 510
    Total 1570 430 2000

    What is the probability of finding a person who is from region 1 and supports wildlife?
    Select one:
    a. .125
    b. .050
    c. .159
    d. .286

    So I did a joint probability table and believe a .125 would be the correct answer here.

    If a person is from region 2, what is the probability that he or she does not support wildlife?
    Select one:
    a. .055
    b. .744
    c. .256
    d. .159
    e. .280

    In this case I don't know its its .055 or .256.

    If a particular person supports wildlife, what is the probability that he or she is from region 3?
    Select one:
    a. .055
    b. .744
    c. .357
    d. .256
    e. .159

    f a person is randomly selected from one of the four regions above, what is the probability that he or she does not support wildlife?
    Select one:
    a. .256
    b. .159
    c. .357
    d. .430
    e. .215

    Really appreciate your help with all this.
    Last edited by scorpio2017; Mar 5th 2017 at 11:09 AM.
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  6. #6
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    Re: Experimental Outcomes

    1) correct

    2) there are 430 total from region 2. 110 do not support wildlife. $\dfrac {110}{430}\approx 0.256$

    3) correct

    4) correct

    start a new thread for the next one
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