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An uncharged conducting sphere of radius a is fixed in space and a particle P, of mass m and charge q, can move freely outside the sphere. Initially P is a distance b ( > a) from the centre O of the sphere when it is projected directly away from O. What must the projection speed be for P to escape to infinity?
[Ignore electrodynamic effects. Use the method of images to solve the electrostatic problem.]
Exact Penalty Functions) Consider a problem where each function fij is convex over the entire real line, and there is a compact arc flow range Suppose that we modify the problem by eliminating the bound constraints and by adding to the cost func..
Create the acceptance-rejection technique for creating the geometric random variable, X, with parameter p on range {0, 1, 2, ...}.
The Rankine Temperature Scale is the absolute scale relative to Fahrenheit. If a temperature in an experiment is reported as 680±20ºR, what is the corresponding recording (including error) in ºC
The following correlation matrix is given by Allison and Ciechetti (1976) in a study of sleep in mammals:
suppose that for a certain caribbean island in any 3-year period the probability of a major hurricane is .25 the
Explain the overall statistical significance of the model, Explain the statistical significance for each independent variable in the model
the variance in drug weights is critical in the pharmaceutical industry. for a specific drug with weights measured in
on completing this chapter you should be able to correctly answer the following questions.a. true or false it is
Calculate the X2 statistic and show that it is the square of the z statistic. Show that the P-value from Table F agrees (up to the accuracy of the table) with your result from (a).
The probability of an offender having a speeding ticket is 35%, having a parking ticket is 44%, having both is 12%. What is the probability of an offender having either a speeding ticket or a parking ticket or both?
for a certain type of electronic component the lifetime x in thousands of hours has an exponential distribution with
Why is it important to study ethics in statistics? Have you seen statistics misused? Without naming specific companies or people, can you provide examples?
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