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

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