EBK BIOSTATISTICS FOR THE BIOLOGICAL AN
EBK BIOSTATISTICS FOR THE BIOLOGICAL AN
2nd Edition
ISBN: 9780134679228
Author: ROY
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Chapter 1, Problem 2RE
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T1.4: Let ẞ(G) be the minimum size of a vertex cover, a(G) be the maximum size of an independent set and m(G) = |E(G)|. (i) Prove that if G is triangle free (no induced K3) then m(G) ≤ a(G)B(G). Hints - The neighborhood of a vertex in a triangle free graph must be independent; all edges have at least one end in a vertex cover. (ii) Show that all graphs of order n ≥ 3 and size m> [n2/4] contain a triangle. Hints - you may need to use either elementary calculus or the arithmetic-geometric mean inequality.
We consider the one-period model studied in class as an example. Namely, we assumethat the current stock price is S0 = 10. At time T, the stock has either moved up toSt = 12 (with probability p = 0.6) or down towards St = 8 (with probability 1−p = 0.4).We consider a call option on this stock with maturity T and strike price K = 10. Theinterest rate on the money market is zero.As in class, we assume that you, as a customer, are willing to buy the call option on100 shares of stock for $120. The investor, who sold you the option, can adopt one of thefollowing strategies:ˆ Strategy 1: (seen in class) Buy 50 shares of stock and borrow $380.ˆ Strategy 2: Buy 55 shares of stock and borrow $430.ˆ Strategy 3: Buy 60 shares of stock and borrow $480.ˆ Strategy 4: Buy 40 shares of stock and borrow $280.(a) For each of strategies 2-4, describe the value of the investor’s portfolio at time 0,and at time T for each possible movement of the stock.(b) For each of strategies 2-4, does the investor have…
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Chapter 1 Solutions

EBK BIOSTATISTICS FOR THE BIOLOGICAL AN

Ch. 1.1 - Prob. 11SLCTCh. 1.1 - Prob. 12SLCTCh. 1.1 - Prob. 13SLCTCh. 1.1 - Prob. 14SLCTCh. 1.1 - Prob. 15SLCTCh. 1.1 - Prob. 16SLCTCh. 1.1 - Prob. 17SLCTCh. 1.1 - Prob. 18SLCTCh. 1.1 - Prob. 19SLCTCh. 1.1 - Prob. 20SLCTCh. 1.1 - Prob. 21SLCTCh. 1.1 - Prob. 22SLCTCh. 1.1 - Prob. 23SLCTCh. 1.1 - Prob. 24SLCTCh. 1.1 - Prob. 25SLCTCh. 1.1 - Prob. 26SLCTCh. 1.1 - Prob. 27SLCTCh. 1.1 - Prob. 28SLCTCh. 1.1 - Prob. 29SLCTCh. 1.1 - Prob. 30SLCTCh. 1.1 - Prob. 31SLCTCh. 1.1 - Prob. 32SLCTCh. 1.2 - Prob. 1SLCTCh. 1.2 - Prob. 2SLCTCh. 1.2 - Prob. 3SLCTCh. 1.2 - Prob. 4SLCTCh. 1.2 - Prob. 5SLCTCh. 1.2 - Prob. 6SLCTCh. 1.2 - Prob. 7SLCTCh. 1.2 - Prob. 8SLCTCh. 1.2 - Prob. 9SLCTCh. 1.2 - Prob. 10SLCTCh. 1.2 - Prob. 11SLCTCh. 1.2 - Prob. 12SLCTCh. 1.2 - Prob. 13SLCTCh. 1.2 - Prob. 14SLCTCh. 1.2 - Prob. 15SLCTCh. 1.2 - Prob. 16SLCTCh. 1.2 - Prob. 17SLCTCh. 1.2 - Prob. 18SLCTCh. 1.2 - Prob. 19SLCTCh. 1.2 - Prob. 20SLCTCh. 1.2 - Prob. 21SLCTCh. 1.2 - Prob. 22SLCTCh. 1.2 - Prob. 23SLCTCh. 1.2 - Prob. 24SLCTCh. 1.2 - Prob. 25SLCTCh. 1.2 - Prob. 26SLCTCh. 1.2 - Prob. 27SLCTCh. 1.2 - Prob. 28SLCTCh. 1.2 - Prob. 29SLCTCh. 1.2 - Prob. 30SLCTCh. 1.2 - Prob. 31SLCTCh. 1.2 - Prob. 32SLCTCh. 1.2 - Prob. 33SLCTCh. 1.3 - Prob. 1SLCTCh. 1.3 - Prob. 2SLCTCh. 1.3 - Prob. 3SLCTCh. 1.3 - Prob. 4SLCTCh. 1.3 - Prob. 5SLCTCh. 1.3 - Prob. 6SLCTCh. 1.3 - Prob. 7SLCTCh. 1.3 - Prob. 8SLCTCh. 1.3 - Prob. 9SLCTCh. 1.3 - Prob. 10SLCTCh. 1.3 - Prob. 11SLCTCh. 1.3 - Prob. 12SLCTCh. 1.3 - Prob. 13SLCTCh. 1.3 - Prob. 14SLCTCh. 1.3 - Prob. 15SLCTCh. 1.3 - Prob. 16SLCTCh. 1.3 - Prob. 17SLCTCh. 1.3 - Prob. 18SLCTCh. 1.3 - Prob. 19SLCTCh. 1.3 - Prob. 20SLCTCh. 1.3 - Prob. 21SLCTCh. 1.3 - Prob. 22SLCTCh. 1.3 - Prob. 23SLCTCh. 1.3 - Prob. 24SLCTCh. 1.3 - Prob. 25SLCTCh. 1.3 - Prob. 26SLCTCh. 1.3 - Prob. 27SLCTCh. 1.3 - Prob. 28SLCTCh. 1.3 - Prob. 29SLCTCh. 1.3 - Prob. 30SLCTCh. 1.3 - Prob. 31SLCTCh. 1.3 - Prob. 32SLCTCh. 1.3 - Prob. 33SLCTCh. 1.3 - Prob. 34SLCTCh. 1.3 - Prob. 35SLCTCh. 1.3 - Prob. 36SLCTCh. 1.3 - Prob. 37SLCTCh. 1.3 - Prob. 38SLCTCh. 1 - Prob. 1CQQCh. 1 - Prob. 2CQQCh. 1 - Prob. 3CQQCh. 1 - Prob. 4CQQCh. 1 - Prob. 5CQQCh. 1 - Prob. 6CQQCh. 1 - Prob. 7CQQCh. 1 - Prob. 8CQQCh. 1 - Prob. 9CQQCh. 1 - Prob. 10CQQCh. 1 - Prob. 1RECh. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 1CRECh. 1 - Prob. 2CRECh. 1 - Prob. 3CRECh. 1 - Prob. 4CRECh. 1 - Prob. 5CRECh. 1 - Prob. 6CRECh. 1 - Prob. 7CRECh. 1 - Prob. 8CRECh. 1 - Prob. 9CRECh. 1 - Prob. 10CRECh. 1 - Prob. 11CRECh. 1 - Prob. 12CRE
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