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Question: Exercise 4 from book: Bitcoin and Cryptocurrency Technologies:
https://d28rh4a8wq0iu5.cloudfront.net/bitcointech/readings/princeton_bitcoin_book.pdf
4. Even when all nodes are honest, blocks will occasionally get orphaned: if two miners Minnie and Mynie discover blocks nearly simultaneously, neither will have time to hear about the other's block before broadcasting hers.
a. Assuming that the total hash power of the network stays constant, what is the probability that a block will be found in the next 10 minutes?
b. Suppose Bob the merchant wants to have a policy that orders will ship within x minutes after receipt of payment. What value of x should Bob choose so that with 99% confidence 6 blocks will be found within x minutes?
Prove that the shortest distance between two points is a straight line. Show that the necessary conditions yield a minimum and not a maximum.
You are an AU$ bank. An investor purchases a call option to buy a US$ share for 10 US$. How would you price and hedge this option?
A bank has received a request from its client for a forward quote on USD/AUD, the current spot rate is 1.1647. Assuming the 3 month USA benchmark rate is 0.24% and in Australia is 2.0%, calculate the forward swap point.
Math 054 Partial Differential Equations - HW Assignment 2. Explain in a short paragraph where the uxx(x, y) or ∇2u comes from in the heat equation. This should be understandable to someone outside the class. You can use terminology like heat flux....
john fixx a master plumber is considering a five year investment plan using the 2200 windfall from his last job in
In a study on speed control, it was found that the main reasons for regulations were to make traffic flow efficient and to minimize the risk of danger.
Select a financial institution and find out what it takes to qualify for a loan. Try to understand the rationale for the institution's rules, policies, and guidelines about loan approval.
Compute the amount of net income reported by Light for 20X2. In addition, prepare the stockholders' equity section of Light's balance sheet as of December 31, 20X2.
Set up the linear programming problem (both objective and constraints) for the following Network representation of the shortest route from node 1 to node 7
Single-axis motions of a flexible robot arm could be modeled by a fourth-order system that accounts for rigid-body motion plus the first bending mode.
Solve the system using the Jacobi's method, the Gauss-Seidel method and the Conjugate Gradient (CG) method.
Explain what each of the following mathematical statements mean in regard to the graph of f(x).With your explanation, include a DIAGRAM for each part.
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