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1.) Find the value of k for which the given function is a probability density function.
f(x) = 2k
on [-1, 1]
2.) Find the value of k for which the given function is a probability density function.
f(x) = kekx
on [0, 8]
3.) Your company's new series "Avocado Comedy Hour" has been a complete flop, with viewership continuously declining at a rate of 35% per month. Use a suitable density function to calculate the probability that a randomly chosen viewer will be lost sometime in the next three months. (Round your answer to four decimal places.)
Prove the quotient map π : G → G/N is a continuous group-homomorphism. Suppose π: G → G/N is the quotient map and B ⊂ G is an arbitrary set. Prove that π-1(π(B)) = BN. Thus conclude π is an open map
A compact disc spins at a rate of 200 to 500 revolutions per minute. What are the equivalent rates measured in radians per second?
two fire towers are 30 km apart towera being due west of tower b. a fire is spottedfrom the towers and the bearings
a circle is inscribed in a right triangle. the right triangle has an hypotenuse of 10 and the circle hasa radius of 2.
How are radicals multiplied? Show an example to illustrate. What steps do you use to simplify radicals? Give an example, showing each step.
Annual Salary: Suppose your salary was $28500 in 1992 and $32900 in 1994. pattern. a) Write a linear equation giving your salary S in terms of the year t.
thin plate has the shape of an isosceles triangle wide at the bottom and high. If the plate is submerged vertically in water with the top vertex below the surface and the bottom edge horizontal, find the total force against the (two sides of ) the..
Express the area of the large rectangle in Fig. formed by the smaller rectangles in two ways.
A poster is to have an area of 180 in2 with 1 inch margins at the bottom and sides and a 2 inch margin at the top. Find the exact dimensions that will give the largest printed area.
F? = xi? + 2yj? + 3zk? and S is a square of side 2 in the plane y = 3, oriented in the positive y-direction.
Archimedes principal of buoancy states that an object submerged in a fluid is buoyed up by a force equal to the weight of the fluid the object displaces.
Generating functions are useful in studying the number of different types of partitions of an integer n. A partition of a positive integer is a way to write.
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