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Given the fact that P(a ≤ x ≤ b) = a∫bf(x)dx and that -∞∫∞f(x)dx = 1. This means that all probabilities lie between 0 and 1.
Show that f(x) = xe-x if x ≥ 0 and f(x) = 0 if x < 0. Verify that f is a probability function.
Estimate the relative error in the calculated surface area.
The radius of curvature of a road at a certain turn is 50m . The width of the road is 1 Om and its outer edge is 1.5m higher than the inner edge. Find the safe speed for such an inclination.
Ken borrowed $6,000 for 4 years at a rate of 7% simple interest per year. How much interest will Ken have to pay after paying back the borrowed amount?
What angle above the horizontal does the path in that direction begin - What is the rate of ascent in that direction?
A certain aircraft can fly 1064 miles with the wind in 4 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind?
the number of seconds of continuous spray yielded by cans of a brand of outdoor fogger is normally distributed with a
If you were buying a home in this particular city, which slope would be most attractive to you and why?
compute the standard deviation and range for the durationof hospitalization for the 25 patients.
Consider an asymmetric tent design of length l that is comprised of a vertical section of height h, connected to a diagonal section, The volume of the tent is hl2/2. For a fixed area of tent material A, find the values of h and l that maximise the t..
we need to compare the demographics of our results to the demographics of the population. One way we can do that is with percentages.
Statistics: linear and multilinear regressions, The personnel director for a local manufacturing firm has received complaints from the employees in a certain shop regarding what they perceive to be inequities in the annual salary for employees who..
A rancher has 60,000 linear feet of fencing and wants to enclose a rectangular field and then divide it into four equal pastures with three internal fences parallel to one of the rectangular sides. What is the maximum area of each pasture?
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