3. [20 Points] Assume that we have the Hidden Markov Model (HMM) depicted in the figure below [4 Points] If each of the...
9. Consider the following hidden Markov model (HMM) (This is the same HMM as in the previous HMM problem): ·X=(x, ,x,Je {0,1)、[i.e., X is a binary sequence of length n] and Y-(Y Rt [i.e. Y is a sequence of n real numbers.) ·X1~" Bernoulli(1/2) ,%) E Ip is the switching probability; when p is small the Markov chain likes to stay in the same state] . conditioned on X, the random variables Yı , . . . , y, are...
I just need some help with question part c. We first examine a simple hidden Markov model (HMM). We observe a sequence of rolls of a four-sided die at an "occasionally dishonest casino", where at time t the observed outcome x E {1, 2, 3,4}. At each of these times, the casino can be in one of two states zi E {1, 2}. When z,= 1 the casino uses a fair die, while when z,- 2 the die is biased...
4. [20 Points We first examine a sequence of rolls of a four-sided die at an the observed outcome Xi E {1,2,3,4}. At each of these times, the casino can be in one of two states z E1, 2}. When z = 1 the casino uses a fair die, while when z = 2 the die is biased so that rolling a 1 is more simple hidden Markov model (HMM). We observe a "occasionally dishonest casino", where at time likely....
(20 points) Suppose a small local hospital has 3 nurses. On any given day, independent of the number of nurses that are working, either one of the working nurses becomes unavailable with probability 1 - q > 0, or all of the nurses are available with probability q. If a nurse becomes unavailable, with certainty s/he will be available next day (we make the simplifying assumption that if a nurse becomes unavailable, s/he becomes unavailable at the beginning of the...
3. In the real world, we do not usually have nice formulas for the Lorenz Function. Instead, we have a bunch of data points. The following table describes the wealth distribution in the United States in 2016.1 0 0.20.4 0.6 0.8 0.9 0.95 0.99 1 L(p) || 0 -0.008 -0.005 0.019 | 0.101 0.212 0.333 | 0.604 (a) Using the table above, determine what percentage of the wealth in the United States was owned by the richest 1% of the...
3. (20 points) The local spatial average of a power delay profile is shown in the following figure. We assume that the coherence bandwidth is approximated by B and the coherence time is estimated using the popular rule of thumb for modern digital communications. Pr(r) -10 dBm -20 dBm -30 dBm 0 5 10 excess delay r rs) If a baseband message with a bit rate R, 400 kbps is modulated by an RF carrier frequency of 5.8 GHz and...
specifically on finite i pmu r the number of objøcts or ways. Leave your answers in fornsiala form, such as C(3, 2) nporkan?(2) Are repeats poasib Two points each imal digits will have at least one xpeated digin? I. This is the oounting problem Al ancmher so ask yourelr (1) ls onder ipo n How many strings of four bexadeci ) A Compuir Science indtructor has a stack of blue can this i For parts c, d. and e, suppose...