1. What is the minimum and maximum value of the entropy H(X) of a random variable...
1. What is the minimum and maximum value of the entropy H(X) of
a random
variable X with an alphabet size M. What are the pmf's that achieve
the
minimum value and the maximum value of H(X), respectively.
Homework Answers
Add Answer to:
1. What is the minimum and maximum value of the entropy H(X) of
a random
variable...
1. What is the minimum value of the entropy H(X) of a random variable X with...
1. What is the minimum value of the entropy H(X) of a random variable X with an alphabet size M. What is the pmf that achieves this minimum value.
This is for an Information Theory class. H(X) is entropy rate. Problem 8: Suppose that X is a random variable with a pr...
This is for an Information Theory class. H(X) is entropy
rate.
Problem 8: Suppose that X is a random variable with a probability that X = k) given by: probability distribution (i.e., Px (k) = Prob(X = k) = (1 - ) )X* for k0 where 0 < 1 and k is a non-negative integer (and hence X can take any negative integer value). To answer this question, note that the AEP theorem we proved for a finite-alphabet random variable...
2. Let X be a Bernoulli random variable with probability of X -1 being a. a)...
2. Let X be a Bernoulli random variable with probability of X -1 being a. a) Write down the probability mass function p(X) of X in terms of a. Mark the range of a (b) Find the mean value mx(a) EX] of X, as a function of a (c) Find the variance σ剤a) IX-mx)2) of X, as a function of a. (d) Consider another random variable Y as a function of X: Y = g(X) =-log p(X) where the binary...
et the random variable X have a continuous uniform distribution with a minimum value of 115 and a maximum value of 165....
et the random variable X have a continuous uniform distribution with a minimum value of 115 and a maximum value of 165. What isP(X>127.89|X<140.97)? Round your response to at least 3 decimal places.
Let the random variable X have a continuous uniform distribution with a minimum value of 120...
Let the random variable X have a continuous uniform distribution with a minimum value of 120 and a maximum value of 170. What isP(X>141.96|X<148.23)? Round your response to at least 3 decimal places.
Let the random variable X have a continuous uniform distribution with a minimum value of 110...
Let the random variable X have a continuous uniform distribution with a minimum value of 110 and a maximum value of 165. What is P(X< 98.697 U X > 141.85)? Round your response to at least 3 decimal places. Number
Let the random variable X have a continuous uniform distribution with a minimum value of 115...
Let the random variable X have a continuous uniform distribution with a minimum value of 115 and a maximum value of 165. What is P(x > 120.20 X < 159.28) ? Round your response to at least 3 decimal places. Number Which of the following statements are TRUE? There may be more than one correct answer, select all that are true. In a normal distribution, the mean and median are equal. If Z is a standard normal random variable, then...
Q1. Suppose Random variable X is # of jobs students applied with minimum 0 to maximum...
Q1. Suppose Random variable X is # of jobs students applied with minimum 0 to maximum 23 that are uniformly distributed. Find P(2 Find P(x=2) Find P(x>22)
Ql- Let X be a random variable with the following probability distribution: fx) Find the maximum ...
Ql- Let X be a random variable with the following probability distribution: fx) Find the maximum likelihood estimator of θ, based on a random sample size n. (0+1)x -(8 + 1)xe
Ql- Let X be a random variable with the following probability distribution: fx) Find the maximum likelihood estimator of θ, based on a random sample size n. (0+1)x -(8 + 1)xe
A random variable X has expected valuepx and variance σ . what is the expected value...
A random variable X has expected valuepx and variance σ . what is the expected value and standard deviation of the following random variable? Select one: a. Hy and 0, respectively b.0 and 1,respectively. C.Hx and 1, respectively d.μχ and On, respectively. /
1. What is the minimum value of the entropy H(X) of a random variable X with an alphabet size M. What is the pmf that achieves this minimum value.
This is for an Information Theory class. H(X) is entropy
rate.
Problem 8: Suppose that X is a random variable with a probability that X = k) given by: probability distribution (i.e., Px (k) = Prob(X = k) = (1 - ) )X* for k0 where 0 < 1 and k is a non-negative integer (and hence X can take any negative integer value). To answer this question, note that the AEP theorem we proved for a finite-alphabet random variable...
2. Let X be a Bernoulli random variable with probability of X -1 being a. a) Write down the probability mass function p(X) of X in terms of a. Mark the range of a (b) Find the mean value mx(a) EX] of X, as a function of a (c) Find the variance σ剤a) IX-mx)2) of X, as a function of a. (d) Consider another random variable Y as a function of X: Y = g(X) =-log p(X) where the binary...
Let the random variable X have a continuous uniform distribution with a minimum value of 110 and a maximum value of 165. What is P(X< 98.697 U X > 141.85)? Round your response to at least 3 decimal places. Number
Let the random variable X have a continuous uniform distribution with a minimum value of 115 and a maximum value of 165. What is P(x > 120.20 X < 159.28) ? Round your response to at least 3 decimal places. Number Which of the following statements are TRUE? There may be more than one correct answer, select all that are true. In a normal distribution, the mean and median are equal. If Z is a standard normal random variable, then...
Ql- Let X be a random variable with the following probability distribution: fx) Find the maximum likelihood estimator of θ, based on a random sample size n. (0+1)x -(8 + 1)xe
Ql- Let X be a random variable with the following probability distribution: fx) Find the maximum likelihood estimator of θ, based on a random sample size n. (0+1)x -(8 + 1)xe
A random variable X has expected valuepx and variance σ . what is the expected value and standard deviation of the following random variable? Select one: a. Hy and 0, respectively b.0 and 1,respectively. C.Hx and 1, respectively d.μχ and On, respectively. /
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