7-A source produces dots"." and dashes"-", with P(dot) = 0.65. If the timeduration of a dot = 2ms and for dash 8ms. Find average source entropy rate.8- A two independent variables; dot (.) with probability of 0.35 and dash(-). Ifthe duration of dot symbol is 2 msec and dash symbol duration is 3 times dotduration. Determine:a-The entropy of the source.b- The average source entropy rate.

Answered: Image /qna-images/answer/30a3b8e8-4a19-4eb0-8fac-df6f19829e8f.jpg

Answered: 7-A source produces dots"." and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Exponential distribution can be used to represent a series of k stations that must be passed through in order to complete servicing and an additional customer cannot enter the first station until the customer in process has negotiated all the stations. Select one: True False
Suppose model (XY, XZ, YZ) holds in a 2 x 2 x 2 table, and the common XY conditional log odds ratio at the two levels of Z is positive If the XY and YZ conditional log odds ratios are both positive or both negative, show that the XY marginal odds ratio is larger than the XY conditional odds ratio.
The supermarket owner buys newspapers for 20 cents each and sells them for 80 cents each. The demand for newspapers follows a uniform distribution over the interval [0,100]and the distribution is known to the owner. How many newspapers should the owner order?
X = factorial(3) def factorial(n): if n == 1:return 1else:return n* factorial (n-1) def factorial(n):if n== 1: return 1else: 2return n * factorial(n-1) def factorial(n):if n==1: return 1 else:return n* factorial (n-1) Provide a relationship with the domain subset of the integers that is proven using mathematical induction
Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. Pregnancy Length in a Population of New Mothers 282235293Pregnancy length (in days) μ=267 σ=12 282<x<293 x A graph titled "Pregnancy Length in a Population of New Mothers" has a horizontal x-axis labeled "Pregnancy length (in days)" from about 225 to 309 with tick marks at 235, 282, and 293. A normal curve labeled μ = 267 σ = 12 is centered above the x-axis at 267. Two vertical line segments extend from the curve to the x-axis at 282 and 293. The area below the curve and between the two vertical line segments is shaded and labeled 282 < x < 293. The probability that the member selected at random is from the shaded area of the graph is nothing. (Round to four decimal places as needed.)
A discrete source has 8 symbols x-[x1, x2, x3, x4, x5, x6, x7, x8] with probability P- [1/4, 1/4, 1/8, 1/8, 1/16, 1/16, 1/16, 1/16]. Find info content in each symbol then calculate the entropy.
116. For a device to work properly, three subsystems of the device must all function properly. To increase the reliability of the device, spare units may be added to each system. It costs 100 TL to add a spare unit to system 1, 300 TL to system 2, and 200 TL to system 3. As a function of the number of added spares (a maximum of two spares may be added to each system), the probability that each system will work is given in Table. Use dynamic programming to maximize the probability that the device will work properly, given that 600 TL is available for spare units. Identify and explain decision variables, stages, states and formulate a recursion to design the device with optimal reliability. Probability that a system works system 1 Number of spares system 3 system 2 .60 .85 .70 1 .90 .85 .90 2 .95 .95 .98 117. You are planning on moving to a new house. You need to move n items of size aj , j-1,2,.,.n. You have bought m boxes (box i has size bi , i- 1,2,.,m). You need to rent a truck that…
When do creative people get their good ideas? USA Today did a survey of 966 inventors (who hold U.S. patents) and obtained the following information. Assuming that the time interval includes the left limit and all the times up to but not including the right limit, the probability that an inventor has a good idea during each time interval is the following: P(6 A.M.-noon) = 290/966, P(noon-6 P.M.) = 135/966, P(6 P.M.-midnight) = 319/966, P(midnight-6 A.M) = 222/966. State whether the following statement is true or false.All the outcomes are not equally likely.
If two Normal universes A and B have the some total frequency but the standard deviation of universe A is K time that of the universe B, show that maximum frequency of universe A is (1/k) time that of universe B.
A person’s body temperature follows a uniform distribution and can be anywhere in the range of 95 °to 106 °for a living person Draw the graph of the density curve. What is the probability that a person’s body temperature will be more than 98°? What is the probability that a person’s body temperature will be between 97°and 99°? What is the probability that a person’s body temperature will be below 100°?
Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded egion of the graph. Assume the variable x is normally distributed. Pregnancy Length in a Population of New Mothers H= 269 o = 10 283
Assume that M= N(h)+k, h² + k, h* + ... Use the following data to find N,(). N,(h)=2.451, N,G)=2.896, N,)=3.285, N,(- = 3.786, N,()= 4.422 16 O a. 4.634 O b. 4.287 O c. 3.044 O d. 3.4146 O e. 3.953 O f. 5.058 Og. 3.674

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