Geometric Distribution Watch

Emissionspectra
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#1
Report Thread starter 7 years ago
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Random variable X has distribution Geo(0.2) find P(3 less then equal X less then equal 5) and P(X>4) I dont know how to do the less then equal one, but for the greater then 4 just be (0.8)^4 ?
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ghostwalker
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#2
Report 7 years ago
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(Original post by Emissionspectra)
Random variable X has distribution Geo(0.2) find P(3 less then equal X less then equal 5) and P(X>4) I dont know how to do the less then equal one, but for the greater then 4 just be (0.8)^4 ?
For the first part:

P(3\le X \le 5)

Since X only takes integer values, X must be 3 or 4 or 5, so work out the probability of each and just add.

For the second part:

Yeah, your method would work (assuming you're using the version fo the geometric distribution that starts at "1"; which is the usual one at A-level)
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