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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?
Suppose that the distribution of a random variable X is approximately exponential with a mean of 10:
The Information Systems Audit and Control Association surveyed office workers to learn about the anticipated usage of office computers for personal holiday.
The manager at a water park constructed the following frequency distribution to summarize attendance for 60 days in July and August.
Does it appear that gender/sex is a significant factor in the differences in salary in this sample?
The formula for the Shapley value is where i is the set of all coalitions S ⊂ N containing i as a member (i.e., i ∈ S). Show that an equivalent formula is
Suppose we have a forward contract with one year expiry with the additional property that either party can cancel the contract after six months. How much will this contract be worth?
Construct counterexamples to the following statements: For x ∈ R: 'If x is not rational then χ - 1/ χ is not rational'. For p ∈ N: 'If p is prime then 2p - 1 or 2p + 1 is prime'
Calculate the circumfrential and longitudinal stresses in the plates when the internal pressure is 800KN/m sq. If the ultimate tensile stress of the material used is 600 MN/m sq, and the efficiency of the longitudinal joint is 70 per cent, determi..
Plot a graph of the signal f(t) and determine the first four terms of the Fourier series for 1(t).
Show that f is conformal. Describe the geometric effect of f on a small disc centred at 3/2. Show that the paths Γ1: γ1(t) = 2√3 + 2eit (t ∈ [0, 2π])
Do interruptions while you are working reduce your productivity? According to a University of California-Irvine study. businesspeople are interrupted.
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested) The seller announced that the highest bid in excess.
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