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Professor May B. Hard, who has a tendency to give difficult problems in probability quizzes, is concerned about one of the problems she has prepared for an upcoming quiz. She therefore asks five TAs to solve the problem and record the solution time. May's prior probability that the problem is difficult is 0.3, and she knows from experience experience that the conditional PDF of her TA's solution time X, in minutes, is fX|Θ(x|Θ = 1) = c1e-0.04x, if 5 ≤ x ≤ 60, 0, otherwise if Θ = 1 (problem is difficult) and fX|Θ(x|Θ = 2) = c2e-0.16x, if 5 ≤ x ≤ 60, 0, otherwise if Θ = 2 (problem is not difficult). where c1 and c2 are normalizing constants.She uses the MAP rule to decide whether the problem is difficult 1. Given that the TA's solution time was 20 minutes, which hypothesis will she accept and what will be the probability of error? 2. Not satisfied with the reliability of her decision, May asks four more TAs to solve the problem. The TAs' solution times are conditionally independent and identically distributed with the solution time of the first TA. The recorded solution times are 20, 10, 25, 15, and 35 minutes. On the basis of the five observations, which hypothesis will she now accept, and what will be the probability of error?
use as few 3times8 binary-decimal decoders and 3-input nor gates as possible to implement a bcd squaring circuit.
A silicon diode has a doping profile such that ND = ax3. What is the depth of the junction assuming the p side is uniformly doped with NA per cubic cm. Assume the x origin is at an ideal ohmic contact on the n side of the diode.(assume T=300K).
The equipment works in reception mode, 24 hours a day and throughout the year. About 120 daily Call Ringtone, a median time of 3 min duration each, except Saturdays and Sundays, which are carried out almost no calls are carried out.
Find the imaginary part of e^ - (j pi)/2 Find the magnitude of e^ jtheta (for any real value of theta) Find the magnitude of Ae^( j theta) (for any real values of A and theta) Find the phase of -5j in radians
What is the difference between multiplexing and multiple access?
The impedance of the transmission line is 2+j4 mega-ohms per kilometer. What is the total impedance of the transmission line. The solutions manual of my book has the impedance of the transmission line being 0.2+0.4j.
Two semiconductor materials have exactly the same properties except that material A gives photoluminescence at 1240nm and material B at 1033nm. Determine the ratio of ni for material A to that of material B for T=300K.
If blood flows at a rate of 5 L/min for 3.5 minutes and then 4.5 L/min for 2 minutes, calculate the amount of blood that has moved through the body over the whole time period.
Electrostatic scaling: prove that electrostatic force between the two plates of a charged capacitor is a surface force (~L2); How about the stored energy under constant voltage on the capacitor (~L1, ~L2, or ~L3)
Determine the power consumed by the two elements, determine the current leaving the source, determine the power factor and specify leading or lagging. Also, determine the size of the capacitor (in kVARs) needed to bring the power factor to 1
in investigating the ideal gas law experiments are to be run at four different pressure and three different temperatures . A) How many exprimental conditions are to be studies B) If each experment is replicated 5 times how many expriments will be con..
The woofer can be modeled as a series R-L low pass filter. Suppose that a given woofer has an inductance of 750 micron Hertz and a resistance of 4 Ohms. At what frequncy (in Hertz) does its frequncy response
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