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Suppose X ∼ Exp(λ) and Y ∼ Exp(µ) are independent. Assume that λ 6= µ.
a). Let T = X + Y . Find fT (t) by using a convolution formula.
b). Let W = Y/X. Find fW (w).
Jerry borrowed $10,657.50 from his bank to build an attached garage and work space on his house. Jerry's simple interest loan had a rate of 13% and required him to pay $12,250 under the agreed terms. What was the duration of his loan?
To determine if two equations form lines that are perpendicular without graphing, you need to compare the slopes of the two lines. If they are indeed perpendicular, the slope of one line will be the negative reciprocal of the slope of the second line..
find a formula for the general term of a sequence , assuming that the pattern of the first few terms continues 1,6,16,31.
What effect does the change in elected officials have on budgeting? What long-term effects might result from this change?
Conduct a self-assessment of your leadership style and skills. You must reference at least two of the tools from thetext. You should also include at least three supportive references in your paper, with at least one being an outsidepeer-reviewed s..
Squares from each corner and folding up the sides, as shown in the gure. The box is to hold 100 in3. How big a piece of cardboard is needed?
Write a clear report on the topic: Challenges in Hiring
On each play the probability of winning is 0.432 and of losing 0.568. If the gambler begins with $2, what is the expected number of times that he will play before quitting? (Round your answer to 3 decimal places.)
An ecologist wishes to mark off a circular sampling region having radius 10 meters. However the radius of the resulting region is actually a random variable R with probability density function.
later flying against the wind, the plane travels 690 miles in 3 hours. find the speed of the plane in still air and the speed of the wind?
find the measure of the central angle if the lenght of the arc is 29.21 and the circumference is 40.44.
What is the probability that the number 10 will not appear until the 6th number and what is the expected number of trials until a 10 appears
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