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A law firm takes cases on a contingent fee basis. If the case goes to trial, the firm expects to earn $25,000 as part of the settlement if it wins and nothing if it does not. The firm wins one-third of the cases that go to trial. If the case does not to to trial, the firm earns nothing. Half of the cases do not go to trial. Be sure you add the appropriate units.
(a) Define a random variable to model the earning of taking a case of this type.(b) What is the expected value of such a case to the firm?(c) What is the standard deviation of the earnings?
A ball drops from a height of 19 feet. Each time it hits the ground, it bounces up 35 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Note: the density of hot chocolate is delta = 1500 kg/m^3
Linear Fractional Transformation, Consider the transformation w = (i - z) / (i + z). The upper half plane Im z > 0 maps to the disk |w|
How much wire should be used for the square in order to minimize the total area?
the passport card charges a customer 1.5% per month on the customer's unpaid balance find the interest owed to the credit card company when the customers's unpaid balance for the month is $8.00.
Consider the function f(x,y,z)= e^xy cos(x+z). What is the directional derivative for f at the point P(0, -pie/6, pie/3) in the direction u parallel to i - j + 2k
What is the importance of understanding how to set up and solve equations and inequalities.
Think of a mathematical function that represents something from your own life. For example, suppose the number of beers you drink depends on the number of football games you watch. If you drink five beers during every football game, the function w..
Find the breakeven volume as a percentage of capacity.
What was the book value of the equipment inventory at the six-year point, substituting the new hydraulic lift for the original after the new lift had joined the inventory?
A farmer has 700 feet of fence with which to fence a rectangular plot of land. The plot lies along a river so that only three sides need to be fenced. Estimate the largest area that can be fenced.
A soda can is to hold 12 fluid ounces. Suppose that the bottom and the top are twice as thick as the sides. Find the dimensions of the can which minimize the amount of material used.
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