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anonymous

  • one year ago

Toss 3 fair coins and let x equal the number of heads observed. a. Identify the sample points associated with this experiment and assign a value of x to each sample point b. Calculate p(x) for each value of x c. Construct a probability histogram for p(x) d. What is P(x = 2 or x = 3)?

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  1. anonymous
    • one year ago
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    Well, \(X\) can be from \(0\) to \(3\).

  2. anonymous
    • one year ago
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    There are \(2^3=8\) possible outcomes. There is \(1\) outcome for \(X=0\), \(3\) for \(X=1\), \(3\) for \(X=2\), and \(1\) for \(X=3\).

  3. anonymous
    • one year ago
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    Hi Wio, thanks for helping. I'm not sure how to approach this problem. I understand the 2^2 = 8 part. I think we need to make a tree for this?

  4. anonymous
    • one year ago
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    By tree, do you mean pascal's triangle?

  5. anonymous
    • one year ago
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    Actually, do we just list it out like this? HHH HTH HTT HHT THH TTH THT TTT those are the sample points, correct?

  6. anonymous
    • one year ago
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    Yeah, sure

  7. anonymous
    • one year ago
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    Ok, so each of those are X?

  8. anonymous
    • one year ago
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    P(1) = 3/8 p(2) = 4/8 p(3) = 1/8 am I doing this correctly?

  9. anonymous
    • one year ago
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    No

  10. anonymous
    • one year ago
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    you need \(p(0)\)

  11. anonymous
    • one year ago
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    p(0) = 1/8 ?

  12. anonymous
    • one year ago
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    yes, and your \(p(2)\) is wrong

  13. anonymous
    • one year ago
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    p(2) = 3/8 ?

  14. anonymous
    • one year ago
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    yes

  15. anonymous
    • one year ago
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    thank you, i think i can solve the rest

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