#How do I show this?

23 messages · Page 1 of 1 (latest)

pine whale
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How do I show that

E[max X_i | X_1 < X_2 < X_3] = (1/λ_1 + λ_2 + λ_3) + (1/λ_2 + λ_3) + (1/λ_3)?

In addition, how do I derive E[max X_i]?

Really need some help!!

misty plumeBOT
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smoky shore
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what is the distribution of X_i?

pine whale
smoky shore
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or just directly calculate by definition

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are x1 x2 x3 independent?

pine whale
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Yes

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I don't know how to do it... can you please show me?

smoky shore
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show us what you have cooked so far

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you gotta have some ideas

pine whale
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@smoky shore

IMG_4282.png
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This is what I have for the first one

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I don’t think it’s correct haha

smoky shore
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I don't understand what this means

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specifically this part

image.png
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is f the joint density of (x1,x2,x3)?

pine whale
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Yes…

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Is it not correct?

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I’m sorry… I don’t understand this class much haha

grave lakeBOT
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@pine whale

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