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A fair, six-sided dice is rolled two times. Let X1 and X2 denote the number of points showing on the ¯rst and second rolls, respectively. Let U = X1+X2 and V = X1¡X2.
(a) Find the mean and variance of V .(b) Find the covariance of U and V .(c) What is the probability that X2 < X1?(d) What is the probability that U = V ?
Assume that the i component of the derivative of a vector function r(t) is 0 for all t in the domain of the function. What does this imply about the graph of r?
What is your profit from charging the premium found in part b? What happens to the smokers and non-smokers in this market? What premium must you charge in order to break-even?
Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible. (1, -4), m = -4
number of correct answers on a test and test score 4) number of students in a class and number of students of with brown hair
For the function: f(x)=(x^2/4)+e^(-x^2), sketch a graph of the function. Calculate the first and second derivatives, and use these answers to approximate the locations of the local maximum, minima, and the inflection points.
a company owns 400 laptops.each laptop has an 8% probability of not working. you randomly select 20 laptops for your salespeople. a. what is the likelihood that 5 will be broken? b. what is the likelihood that they will all work? c. what is the li..
A book case is 1.98 meters tall and its shelves aree 33 cm apart. how many shelves are in the bookcase?
The hypothesized developmental differences
You are the financial manager of a furniture company. It is your job to create supply and demand graphs that show the break-even point for the company.
Find coordinate of centroid using multiple integral method -Determine the z-coordinate of the centroid of G.
A rectangle plaque 1.5 cm thick is made of two kinds of metal. The central rectangle has an area of 24cm squared and costs 10 cents/cm cubed. The 1-cm border on the sides and the 2-cm border at the top and bottom cost 5 cents/cm cubed. What shape ..
Lead has a Half-Value Layer (HVL) of 0.3mm for 140 KeV X-rays. What is the minimum thickness of a lead slab to reduce the incident energy to less than 1%?
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