A continuous random variable X is constrained to a peak magnitude M that is ? M (a)
Question:
A continuous random variable X is constrained to a peak magnitude M that is ? M
(a) Show that the differential entropy of X is maximum when it is uniformly distributed, as shown by
(b) Show that the maximum differential entropy of X is log2 2M.
Transcribed Image Text:
S1/2M, lo, -M
S1/2M, lo, -M
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 90% (11 reviews)
a The differential entropy of a random variable X is hX fxx log2 fxxdx Th...View the full answer
Answered By
PALASH JHANWAR
I am a Chartered Accountant with AIR 45 in CA - IPCC. I am a Merit Holder ( B.Com ). The following is my educational details.
PLEASE ACCESS MY RESUME FROM THE FOLLOWING LINK: https://drive.google.com/file/d/1hYR1uch-ff6MRC_cDB07K6VqY9kQ3SFL/view?usp=sharing
3.80+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Telecommunication Engineering questions
-
A continuous random variable X that can assume values between x = 1 and x = 3 has a density function given by f(x) = 1/2. (a) Show that the area under the curve is equal to 1. (b) Find P(2 < X <...
-
A continuous random variable X is uniformly distributed with 0 X 20. (a) Draw a graph of the uniform density function. (b) What is P(0 X 5)? (c) What is P(10 X 18)?
-
A continuous random variable X is uniformly distributed with 10 X 50. (a) Draw a graph of the uniform density function. (b) What is P(20 X 30)? (c) What is P(X < 15)?
-
I keep getting the second question wrong. Can you help me to getthat one, please thank you.I tried 8.66, and 8.67 does not are the correct answer A firm has 10 million shares outstanding with a...
-
A hypothetical planet has a mass 2.80 times that of Earth, but has the same radius. What is g near its surface?
-
What four factors can become the basis for a pricing program?
-
The latent heat of vaporization is the (a) The amount of heat absorbed during melting (b) The amount of heat absorbed during vaporization (c) The amount of heat absorbed during sublimation (d) None...
-
Bruno Corporation's post-closing trial balance at December 31, 2008, was as follows. At December 31, 2008, Bruno had the following number of common and preferred shares. The dividends on preferred...
-
1. As seen by an observer on Earth, two stars are separated by an angle of 0.0005. What is the minimum diameter of a telescope required for an Earth astronomer to see two separate stars? (Assume a...
-
Company A is preparing a deal to acquire company B. One analyst estimated that the merger would produce 175 million dollars of annual cost savings, from operations, general and administrative...
-
Let X 1 , X 2 , . . , X n denote the elements of a Gaussian vector X. The Z are independent with mean ? i and variance ? 2 i , i = 1, 2,. . . , n . Show that the differential entropy of the vector X...
-
Prove the properties given in Equations 979) to (9.81) for the mutual information I(X; Y).
-
The wave pulses shown in Figure Q15.3 travel along the same string. Rank in order, from largest to smallest, their wave speeds \(v_{1}, v_{2}\), and \(v_{3}\). Explain. V V2 2 3. FIGURE Q15.3 V3
-
1. Program to Print the below triangle using for loop. 5 4 4 3 3 3 2 2 2 2 1 1 1 1 1
-
Explain the Triangle law of forces citing a brief example.
-
A rodent infestation has left a landlord with a major cleanup job; in fact, the cleanup will consist of ripping out all the walls and ceilings of an 1860 square foot house to replace them. A trip to...
-
: A sphere weighing 100 kN weight is lying between two inclinded planes as shown shown in figure. Find offered by two reactions surfaces AB and BC. (Similar Nov. 2007, June 2008) A [100 100 kN 30 B...
-
We have spent 14 weeks exploring different components of intercultural communication. As we know culture is central to our lives and is defined as, "an accumulated pattern of values, beliefs, and...
-
Refer to Exercise 12-22. Suppose that the market for silk-screened T-shirts grew by 10% during 2017. All increases in sales greater than 10% are the result of Dhyanchands strategic actions.Calculate...
-
How has the globalization of firms affected the diversity of their employees? Why has increased diversity put an additional burden on accounting systems?
-
Urea (CH 4 N 2 O) is a common fertilizer that is synthesized by the reaction of ammonia (NH 3 ) with carbon dioxide: In an industrial synthesis of urea, a chemist combines 136.4 kg of ammonia with...
-
Utilize the data given in Problem 4.5, assume the benzene hydrogenation reaction is zero order in benzene and first order in H2, and then calculate the Thiele modulus for the largest and smallest...
-
Suppose that xx = 2,500 yy = 5,200 xy = 3,700 and the z-direction shear stresses (zx, zy) are zero, while the z-direction normal stress (zz) is 4,000 psi. Find: the major, intermediate, and minor...
-
The rate of formaldehyde (CH2O) oxidation over a Ag=SiO2 catalyst at 493 K and a CH2O pressure of 9 Torr in air was 1:4 x 10 7 mole CH2Os 1 cm 3. The catalyst particles passed through a 100-mesh...
-
Dewan INC. has several divisions, each with a manager responsible for the operations of the division. Each division of Dewan controls product design, sales, pricing, operating costs, and profits.....
-
Reed Company had the following account balances for the current year. Prepare a multiple-step income statement. U Accounts Receivable $ 26,000 Cost of Goods Sold 63,400 Dividends 22,900 General and...
-
Welch Corporation just paid its annual dividend of $2.00 per share. The firm is expected to grow at a rate of 15 percent for the next three years and then at 6 percent per year thereafter. The...
Study smarter with the SolutionInn App