Homepage › Solution manuals › Joseph Blitzstein › Introduction to Probability › Exercise 3.26

Exercise 3.26

Answers

If $X \sim HGeom (w, b, n)$ , then $n - X \sim HGeom (b, w, n)$ .

If $X$ counts the number of items sampled from the set of $w$ items in a sample of size $n$ , then $n - X$ counts the number of items from the set of $b$ items in the same sample.

To see this, notice that

P (n - X = k) = P (X = n - k) = \frac{(\binom{w}{n - k}) (\binom{b}{k})}{(\binom{w + b}{n})}

fifthist

2021-12-05 00:00

Exercise 3.26

Answers

Comments

Add answer