Discrete random variable
Suppose that X is a discrete random variable for which E[X]=12 and Var[X]=25. Compute E[X(X-5)].
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The leading brand of dishwasher detergent has a 30% market share. A sample of 25 dishwasher detergent customers was taken. What is the probability that 10 or fewer customers chose the leading brand? Please give the answer to four decimal places.
Develop a linear optimization model to determine how many of each type of unit the developer should build. Implement your model on a spreadsheet and find an optimal solution.
If they are playing a sound with frequency 369 Hz, what are the first three points of constructive interference between the two speakers starting from x = 0? (Take the speed of sound as 343 m/s.)
a) Calculate the speed of the 4.59 kg block right after the collision. b) Calculate the change in the total kinetic energy of the objects from the collision.
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The elevator is moving upward at a speed of 2.0 m/s. It then slows to a stop, while the cylinder turns one complete revolution. How long does it take for the elevator to stop?
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