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Pr[|X −E[X]| ≥ a] = Pr[(x−E[x]) ≥ a] ≤ E[(x−E[x]) 2] a2 = Var[X] a2 1.3 Example: Coupon Collector Xi : # boxes bought when you have exactly i− 1 different coupons, and after buying these boxes, you have i different coupons. Let X = ∑ i∈nXi: # boxes one bought until at least one of every type of coupon is obtained. Let pi be the probability of obtaining a new coupon when we have exactly i−1 diff...

In the United States, approximately 35,000 births (0.9%) per year occur in the home. Approximately one fourth of these births are unplanned or unattended. Although the American College of Obstetricians and Gynecologists believes that hospitals and accredited birth centers are the safest settings for birth, each woman has the right to make a medically informed decision about delivery. Importantl...

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Disulfide links of the IgG2ak anti-ovarian carcinoma antibody, 5G6.4, were site-specifically biotinylated [approximately 2 biotins/IgG2a] using a novel crosslinking procedure using the biotin derivatized ETAC (equilibrium transfer alkylation crosslink reagent) 1a. Complexation of ETAC 1a biotinylated 5G6.4 on a column of immobilized protein A at high dilution, followed by passage of [125I]strep...