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As opposed to a coin which has two faces, a dice has 6 faces. Suppose we are given a dataset which contains the outcomes of 10 independent tosses of a dice: D:={1,4,5,3,1,2,6,5,6,6}. We are asked to build a model for this dice, i.e. a model which tells what is the probability of each face of the dice if we toss it. Using the maximum likelihood principle, please determine the best value for our model parameters.
among a sample of 65 male soldiers the average shower time was found to be 2.23 minutes and the standard deviation was
(a) How does the rate of convergence of the LMS algorithm depend upon the value of a?
The average number of typos on one page of a manuscript is 8. What is the probability that 4 to 6 type appear on 2 pages of the manuscript? Imagine Poisson distribution.
Technical: After developing your regression model, check to make sure the technical assumptions are satisfied. Comment on any points that would concern you based on the diagnostics.
If the sample size had been 8 patients instead of 50, what further assumption(s) would have been necessary in order to solve this problem?
Diamonds. Use the data in Table 28.4 (page 28-35) to fit the multiple regression model with two explanatory variables, Carat and Depth, to predict the Total Price of diamonds. Don't forget to include the interaction term in your model.
What is the probability of exactly three heads when you flip a coin five times? What is the probability of three or more heads when you flip a coin five times?
For these data, use the 0.025 level of significance in drawing conclusions about the main and interactive effects in the experiment. Determine the 95% confidence interval for the population mean for each factor level.
suppose a geyser has a mean time between eruptions of 94 minutes. let the interval of time between the eruptions be
Steroids in high school A study by the National Athletic Trainers Association surveyed random samples of 1679 high school freshmen and 1366 high school seniors.
What is the point estimate for the difference between the means of the two populations?
Assume no dividends paid and the AAR and GAR are based on annual rate of returns. (round to the nearest $1 and show your answer like this $394)
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