A manufactured lot of brass turnbuckles has S items of which D are defective. A sample of s items is drawn without replacement. Let X be a random variable that gives the number of defective items in the sample. Let p (d) = P(X = d).
(a) Show that P (d) = (D/d) (S-D/s-d) / (S/s)
Thus, X is hypergeometric.
(b) Prove the following identity, known as Euler€™s formula:

Transcribed Image Text:

min( D.s) -() Σ ()(-) ()-