1) Al comienzo del a�o, Philip deposita $200 en su cuenta de ahorros.pdf

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1) Al comienzo del ao, Philip deposita $200 en su cuenta de ahorros que paga una tasa de inters anual del 4%. La inflacin del ao es del 1,5%. La tasa de inters nominal es ____ y la tasa de inters real es _____. (a) 4%, 2,5% (b) 2,5%, 4% c) 2,5 %, 1,5 % 2) Si dos pases son econmicamente idnticos excepto que un pas tiene una tasa de criminalidad ms alta que el otro, entonces el nivel del PIB (a) ser el mismo en ambos pases. (b) es mayor en el pas con ms actividades no de mercado. (c) ser mayor en el pas con la tasa de criminalidad ms alta. 3) El IPC puede exagerar el aumento en el costo de vida debido a: (a) sesgo de sustitucin y/o introduccin de nuevos servicios (gratuitos) y/o mejora de la calidad no medida. (b) introduccin de nuevos servicios (gratuitos) nicamente. (c) solo sesgo de sustitucin..

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1) What is the service rate per hour? 2) What is the average number of customer in the system? 3) What is the fraction of time that an employee is idle? The arrival process of customers to a service facility is Poisson with an average arrival rate of 4 customers per hour. The service facility has a single employee that serves the customers. This person takes on average 10 minutes to serve one customer (assume this time is exponentially distributed)..

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1- Consider a random walk performed on an array D of size 2k, where each entry is a bit generated uniformly at random. If i is the current position, then in one step the pointer jumps to the position Hash(D[i]..D[i + m]]). What is the probability that all the positions of D will be visited by the pointer when it starts at the position 0? (An estimation is enough.) What about visiting, say, at least half of the positions? 2- For authentication based on secret key K, we may have the problem of leaking the key to third parties. There might be different ways of such leakage, e.g. via delays in communication. To protect ourselves against such leakage, we use a very large key K say, 100MB key. Then leaking it bit by bit would take years. But how to use a large key so that: the adversary has a negligible chance to impersonate if he knows the bits of K on a fraction of 50% positions, computing the authentication token (sent from the prover to the verifier) is very easy and fast. (Hint: we are going to make use of the results of Question 1.).

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