Whether the variable “Amount of time spent shopping in the bookstore” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

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Answer 1

Question

Chapter 1, Problem 1.5AC

a.

To determine

To explain: Whether the variable “Amount of time spent shopping in the bookstore” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

b.

To determine

To explain: Whether the variable “Number of textbooks purchased” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

c.

To determine

To explain: Whether the variable “Academic major” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

d.

To determine

To explain: Whether the variable “Gender” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

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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: Strategy 1: (seen in class) Buy 50 shares of stock and borrow $380. Strategy 2: Buy 55 shares of stock and borrow $430. Strategy 3: Buy 60 shares of stock and borrow $480. 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…

Negate the following compound statement using De Morgans's laws.

Answer 2

Question

Chapter 1, Problem 1.5AC

a.

To determine

To explain: Whether the variable “Amount of time spent shopping in the bookstore” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

b.

To determine

To explain: Whether the variable “Number of textbooks purchased” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

c.

To determine

To explain: Whether the variable “Academic major” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

d.

To determine

To explain: Whether the variable “Gender” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

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Answer 3

Question

Chapter 1, Problem 1.5AC

a.

To determine

To explain: Whether the variable “Amount of time spent shopping in the bookstore” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

b.

To determine

To explain: Whether the variable “Number of textbooks purchased” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

c.

To determine

To explain: Whether the variable “Academic major” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

d.

To determine

To explain: Whether the variable “Gender” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

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Answer 4

Question

Chapter 1, Problem 1.5AC

a.

To determine

To explain: Whether the variable “Amount of time spent shopping in the bookstore” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

b.

To determine

To explain: Whether the variable “Number of textbooks purchased” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

c.

To determine

To explain: Whether the variable “Academic major” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

d.

To determine

To explain: Whether the variable “Gender” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

Expert Solution & Answer

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Answer 5

Chapter 1, Problem 1.5AC

a.

To determine

To explain: Whether the variable “Amount of time spent shopping in the bookstore” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

b.

To determine

To explain: Whether the variable “Number of textbooks purchased” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

c.

To determine

To explain: Whether the variable “Academic major” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

d.

To determine

To explain: Whether the variable “Gender” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

Answer 6

Chapter 1, Problem 1.5AC

a.

To determine

To explain: Whether the variable “Amount of time spent shopping in the bookstore” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

Answer 7

Chapter 1, Problem 1.5AC

a.

To determine

To explain: Whether the variable “Amount of time spent shopping in the bookstore” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

Answer 8

b.

To determine

To explain: Whether the variable “Number of textbooks purchased” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

Answer 9

b.

To determine

To explain: Whether the variable “Number of textbooks purchased” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

Answer 10

c.

To determine

To explain: Whether the variable “Academic major” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

Answer 11

c.

To determine

To explain: Whether the variable “Academic major” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

Answer 12

d.

To determine

To explain: Whether the variable “Gender” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

Answer 13

d.

To determine

To explain: Whether the variable “Gender” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

Answer 14

Expert Solution & Answer

Answer 15

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Answer 16

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Answer 17

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Whether the variable “Amount of time spent shopping in the bookstore” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

Solution Summary: The author explains whether the variable "Amount of time spent shopping in the bookstore" is categorical or numerical and whether it is discrete or continuous.

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To explain: Whether the variable “Amount of time spent shopping in the bookstore” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

To explain: Whether the variable “Number of textbooks purchased” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

To explain: Whether the variable “Academic major” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

To explain: Whether the variable “Gender” is categorical or numerical and if it is numerical, then will it be discrete or continuous.

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Chapter 1 Solutions