anonymous
  • anonymous
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)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Well, \(X\) can be from \(0\) to \(3\).
anonymous
  • anonymous
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 \(X=3\).
anonymous
  • anonymous
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?

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anonymous
  • anonymous
By tree, do you mean pascal's triangle?
anonymous
  • anonymous
Actually, do we just list it out like this? HHH HTH HTT HHT THH TTH THT TTT those are the sample points, correct?
anonymous
  • anonymous
Yeah, sure
anonymous
  • anonymous
Ok, so each of those are X?
anonymous
  • anonymous
P(1) = 3/8 p(2) = 4/8 p(3) = 1/8 am I doing this correctly?
anonymous
  • anonymous
No
anonymous
  • anonymous
you need \(p(0)\)
anonymous
  • anonymous
p(0) = 1/8 ?
anonymous
  • anonymous
yes, and your \(p(2)\) is wrong
anonymous
  • anonymous
p(2) = 3/8 ?
anonymous
  • anonymous
yes
anonymous
  • anonymous
thank you, i think i can solve the rest

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