(3) Protein scoring matrices, such as the BLOSUM family, are often characterizedby their relative entropyEi og )lijΣ9ijijwhere qj is the implied joint probability distribution of letters i and j, and piis the probability distribution of a single letter i.(a) What properties of the relative entropy make it useful for comparing scor-ing matrices?(b) What would be more appropriate for comparing extremely divergent pro-tein sequences, a scoring matrix with large relative entropy or small relativeentropy?

Answered: Image /qna-images/answer/cd4092dc-b22c-4a3a-a13e-09bdada154bc.jpg

Answered: (3) Protein scoring matrices, such as…

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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(4) Botany. Seeds from maize ears carry either single spikelets or paired spikelets but not both. Progeny tests on 6000 maize ears revealed the following information: Forty percent of all seeds carry single spikelets, while 60% carry paired spikelets. A seed with single spikelets will produce maize ears with single spikelets 29% of the time and paired spikelets 71% of the time. A seed with paired spikelets will produce maize ears with single spikelets 26% of the time and paired * spikelets 74% of the time. (a). with single spikelets. The genetic origin and properties of maize (modern-day corn) were investigated in Economic Find the probability that a randomly selected maize ear seed carries a paired spikelets and produces ears (b). Find the probability that a randomly selected maize ear seed produces ears with single spikelets.
Which of the following should be used to assess the collinearity among explanatory variables condition. (Select all that apply) a residual plot of the residuals versus predicted values a scatterplot matrix a correlation matrix a normal probability plot of the residuals
5
Suppose that P, and P2 are two populations having bivariate normal distributions with mean vectors and (), respectively, and the same (0.75 variance-covariance matrix (O ). Let Z, = () and Z2 = 5) be (0.25) 0.25 %3D \0.5 1 two new observations. If the prior probabilities for P, and P2 are assumed to be equal and the misclassification costs are also assumed to be equal then, according to linear discriminant rule, Z, is assigned to P, and Z2 is assigned to P2 Z, is assigned to P2 and Z, is assigned to P both Z, and Z2 are assigned to P1 both Z, and Z2 are assigned to P2 (A) (B) (C) (D)
You are asked to evaluate 'Introduction to the Matrix' from the statistical data of thefollowing seven (7) 'Introduction to the Matrix' course grade distributions: Class A Class B Class C Class D Class E Class F Class G Mean 71.8 75.2 73.8 82.2 79.6 78.0 73.7 Median 79.3 78.5 80.1 83.4 81.4 77.6 75.9 Mode 80.1 78.5 80.5 83.0 81.0 78.0 70.0 Std Dev 18.6 15.9 15.5 5.1 11.4 7.0 15.1 Students 24 23 14 17 29 18 13 Which 3 'Introduction to the Matrix' classes would you most likely suspectto be possible outliers from these 7 classes?
1,c
The consulting firm of Winston & Associates has been retained by an electronic component assembly company in Phoenix to design and program a computer simulation model of its operations. Winston & Associates plan to construct the model using ProModel software (see Promodel.com). This software allows the developer to program into the model probability distributions for things like machine downtime, defect rates, daily demand, and so forth. The closer the distributions specified in the computer model match those that actually occur in the assembly plant, the better the simulation model will perform. For one machine center, Winston consultants have assumed that when the center goes down for repairs, the time that it will be down will be normally distributed with an average of 30 minutes and a standard deviation equal to 10 minutes. Before finalizing the model, the consultants will collect a random sample of downtimes and test whether their downtime assumptions are valid. The…
Let Rand S denote the sample correlation matrix and the sample covariance matrix, respectively. Let D= diag(s.22. Ann). Show that S-DRD/2 Under what conditions can we conclude from the equation above that R D-1/2SD-1/2? Justify your answer.
Yhmeer is watching a shower of meteors (shooting stars). During the shower, he sees meteors at an average rate of 1.3 per minute. (a) State the conditions required for a Poisson distribution to be a suitable model for the number of meteors which Yhmeer sees during a randomly selected minute (b) Using Excel or otherwise, determine the probability that, during one minute, Yhmeer sees (i) exactly one meteor (ii) at least 4 meteors
Consider an AR(2) model: STEPS; -Write the equation of the AR(2) model- Determine the model based on the delay operator.- Find the expected value of the model- Find the variance of the model.- Find the covariances associated with 1,2, and s steps.- Find the associated correlation indices of 1,2, and s steps.- Assume that information is available up to time $h$ and the function that contains the accumulated information f(h, h-1,……), determine the forecasts and the error associated with 1,2, and s steps.- Assume that there is an initial value of the returns, denoted by $r_0$, and we have the AR(2) model at time rt, convert the AR(2) model into its equivalent MA(t)
The graphs show a violation of the assumption of (check all that apply) normality homogeneity of variance

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