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Let V denote rainfall volume and W denote runoff volume (both in mm). According to the article "Runoff Quality Analysis of Urban Catchments with Analytical Probability Models" (J. of Water Resource Planning and Management, 2006: 4-14), the runoff volume will constant) is the runoff coefficient. The cited article proposes an exponential distribution with parameter l for V.
a. Obtain an expression for the cdf of W. [Note: W is neither purely continuous nor purely discrete; instead it has a "mixed" distribution with a discrete component at 0 and is continuous for values w > 0.]
b. What is the pdf of W for w > 0? Use this to obtain an expression for the expected value of runoff volume.
Suppose that the sales manager of a large automotive parts distributor wants to estimate as early as April the total annual sales of a region.
A new employee is supposed to be sorting coated lenses into one of three bins: ship, rework, or scrap. However, this employee was not well trained and sorts 50 lenses by randomly putting each lens in one of the three bins. Let Y be the number of..
Assuming that they wish to test the claim at alpha = 0.025, determine the rejection and non rejection regions based on your hypotheses in a). State the critical value.
If there are 12 numbered balls in a basket (0-11), and you get 6 chances to pick a ball what are the odds to get two of the same number, 3 of the same number, 4, 5 and 6.
Calculate a 3-period moving average for period 7. Compute the MAD of the forecast.
A. What is the standard deviation?
You can invest the money in one of two mutual funds with similar yearly average returns (9.8% vs. 9.9%). Which mutual fund would you choose?
a genetic experiment involving peas yielded one sample of offspring consisting of 426 green peas and 145 yellow peas.
Solve the following questions involving fundamental operations on polynomials. Find p(x) + 4q(x) given p(x)=4x4 + 10x3 - 2x2 + 13 and q(x) = 2x4+ 5x2 - 3
a horizontal pipe is 100 m long with a diameter of 0.6 m. the pipe carries a steady flow of water of 0.5 m3s. the gage
You have the lab analyze the number of calories in each of the hot dog samples with the results below. What conclusions can you draw concerning the calorie content of the two types of hot dogs?
In a group of six professors selected at random, what is the expected number of extroverts? What is the standard deviation of the distribution?
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