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1) Two transmitters independently send messages over a wireless channel. During each time slot, each transmitter sends a message with probability 1/2. Simultaneous transmissions result in loss of both messages. If X is the number of time slots until the first message gets through, find the PMF of X.
2) Find the mean and variance of Y if it takes on values in the set S(y) = (0,2,5,10) and all values are equiprobable. Further, if Z = 2Y^2 -3Y, find E(Z).
Use differentials to find the change in µ if θ changes from 18° to 20°.
assume that y1, y2 are solutions of the equation y''+py+qy=0 where p and q are functions of t.
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..
Five ounces of shrimp and 3 ounces of scallops contain 45 milligrams of cholesterol less than the suggested maximum daily intake. Determine the cholesterol content in an ounce of each item.
Write an equation that represents the outside edge of the exercise ring. The equation of the outside edge of the racetrack is . Sketch the outside edge of the racetrack on the graph.
the first gear in a single-stage gear train has 42 teeth and an angular velocity of 3 revolutions per second. the
Monica scored 32 points for her team at the science bowl. She got 5 four-point questions correct, and the rest of her points came from answering three-point questions. How many three-point questions did she get correct?
A certain university has a computer room with 219 terminals. Each day there is a 3% chance that a given terminal will break and a 70% chance that a given broken terminal will be repaired. In the long run, about how many terminals in the room will ..
Find the Tangent, Normal and Binormal vectors at the point (1,0,0) . I have found the value of r prime t to be -sin t, cost (t), -tan (t) and the magnitude of r prime t to be sec(t)
A package of frozen strawberries has been taken from the freezer which is at -25 degrees Fahrenheit. Give a formula that gives the temperature of the berriees in terms of time. When will the berries reach 32 degrees?
Write the model you are fitting (in terms of the mean of log (fertility) conditional on knowing the value of pctUrban. What is the equation for the fitted model?
Compute the empirical probability that the sum rolled is greater than 9, A pair of fair dice is rolled 50 times and the sum of the dots on the faces is noted.
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