Reference no: EM131084487
In the message transmission system in Problem 5.3.2, the solution to Problem 5.5.2 is a formula for the PMF of J, the number of transmissions of individual messages. For p = 0.8, find the expected value vector E[J], the correlation matrix RJ, and the covariance matrix CJ.
Problem 5.3.2
A wireless data terminal has three messages waiting for transmission. After sending a message, it expects an acknowledgement from the receiver. When it receives the acknowledgement, it transmits the next message. If the acknowledgement does not arrive, it sends the message again. The probability of successful transmission of a message is p independent of other transmissions. Let K = [K1 K2 K3] be the 3-dimensional random vector in which Ki is the total number of transmissions when message i is received successfully. (K3 is the total number of transmissions used to send all three messages.) Show that
(a) Find the PMF of K.
(b) For each j ∈ {1, 2,..., n - 1}, find the marginal PMF PK1,K2,...,K j(k1, k2,..., kj)
(c) For each i ∈ {1, 2,..., n}, find the marginal PMF PKi(ki).
|
Why should you be skeptical
: Having read about correlation and causation, why should you be skeptical? What are some possible reasons that there could be a correlation between sitting up front and getting good grades? Could you design an experiment to test whether sitting up ..
|
|
Question regarding the principles of design
: Describe how the principles of design are similar to the way we accomplish order in our daily lives. For example, you could relate rhythm to the things you pass on your way to work.
|
|
Contrast risk of the us portfolio and the global portfolio
: Determine what percentage of funds should be invested in each US and foreign stockthat to provide the lowest risk domestic portfolio - Contrast the risk of the US portfolio and theglobal portfolio
|
|
Describe how application benefits human health or well-being
: Summarize psychology research findings that have been applied to solve a specific problem or make a specific improvement. Describe the methods used in the research.
|
|
Three messages waiting for transmission
: In the message transmission system in Problem 5.3.2, the solution to Problem 5.5.2 is a formula for the PMF of J, the number of transmissions of individual messages. For p = 0.8, find the expected value vector E[J], the correlation matrix RJ, and ..
|
|
Explain the apostle paul argument
: Read Romans 3:21-4:25 and explain the Apostle Paul's argument. What is his thesis (3:21)? How does he build his case? What is his conclusion? Compare Paul's conclusion here with James 2:14-26. How do you explain the tension between Paul and James?..
|
|
Education at csu-global impacted
: 1. Outside of GPA, how do you exemplify academic excellence? * ( maximum 1,000 characters) 2. How has deciding to continue your education at CSU-Global impacted your life so far? *
|
|
Integrative approaches to psychology and christianity
: This is for the Entwistle (2010) Integrative approaches to psychology and Christianity. Summary page is 2 pages long, concrete response is 1 page long, reflection is 1 page long, and action is 1 page long.
|
|
An n-dimensional random vector with expected value
: Let X1,..., Xn be iid random variables with expected value 0, variance 1, and covariance Cov[Xi, Xj] = ρ. Use Theorem 5.13 to find the expected value and variance of the sum Y = X1 +···+ Xn.
|