Question: I need help to solve the POISSON DISTRIBUTION exercise. This is computer science class but would like to post out here maybe I could get
For this problem assume there is a transaction which is finalized as accepted after 5 confirmations (the transaction is included in a block plus an additional four blocks are built on top of it). Also assume these 5 confirmations took 40 minutes to arrive on the honest chain. Additionally assume the attacker has 20% of the network hashpower (ie, a-02). What is the probability the attacker can double spend the transaction as soon as it is finalized as accepted? a. t-4omin o. 0.1012-0.1270 ve b. What is the probability the attacker is exactly 4 blocks behind when the transaction is finalized as accepted? POISSON DISTRIBUTION 0 10 0.44 4 c. Suppose that when the transaction is finalized as accepted, the attacker is exactly 4 blocks behind the main honest chain. What is the probability the attacker ever exceeds the main chain and successfully double spends the transaction? 765 0.017' What is the probability the attacker is exactly 4 blocks behind when the transaction is finalized as accepted and then eventually constructs a chain exceeding the main chain and successfully double spends the transaction? (hint: use your results from parts c and d) d. For this problem assume there is a transaction which is finalized as accepted after 5 confirmations (the transaction is included in a block plus an additional four blocks are built on top of it). Also assume these 5 confirmations took 40 minutes to arrive on the honest chain. Additionally assume the attacker has 20% of the network hashpower (ie, a-02). What is the probability the attacker can double spend the transaction as soon as it is finalized as accepted? a. t-4omin o. 0.1012-0.1270 ve b. What is the probability the attacker is exactly 4 blocks behind when the transaction is finalized as accepted? POISSON DISTRIBUTION 0 10 0.44 4 c. Suppose that when the transaction is finalized as accepted, the attacker is exactly 4 blocks behind the main honest chain. What is the probability the attacker ever exceeds the main chain and successfully double spends the transaction? 765 0.017' What is the probability the attacker is exactly 4 blocks behind when the transaction is finalized as accepted and then eventually constructs a chain exceeding the main chain and successfully double spends the transaction? (hint: use your results from parts c and d) d
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