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.
An athlete executing a long jump leaves the ground at a 32.5 degree angle and travels 7.67 meters. What was the take off speed? (v= m/s)
Suppose that X and Y are independent random variables, each coming from a geometric distribution with parameter p.
A multiple-choice exam consists of 16 questions, each with five alternatives. A student needs to answer at least 12 of the questions correctly in order to pass the exam. (a) What is the probability that George passes the exam if he guesses at rand
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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