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It is known that 5% of a population have disease A, which can be detected by a blood test. Suppose that N (a large number) people are to be tested. This can be done in two ways: Either (1) each person is tested separately or (2) the blood samples of k people are pooled together and analyzed. (Assume that N = nk, with n an integer.) In method 2, if the test is negative, all the people in the pool are healthy (that is, just this one test is needed). If the test is positive, each of the k persons must be tested separately (that is, a total of k + 1 tests is needed).
a For fixed k, what is the expected number of tests needed in method 2?
b Find the k that will minimize the expected number of tests in method 2.
c How many tests does part (b) save in comparison with part (a)?
A group of small appliances on a 60Hz system requires 20 kVA at 0.85 pf lagging when operated at 125V (rms). The impedance of the feeder supplying the appliances is 0.01 + j0.08 Ohms. The voltage at the load end of the feeder is 125V (rms).
1)how would two 50μF capacitors be connected to provide atotal capacitance 100μF. 2) Determine the total capacitance and maximum voltage rating for two 220μF, 300-V capacitors connected in series.
All linear dimensions are doubled (multiplied by 2); what is the new charge required to break this new ring?
Write an assembly language program to compare two 1 byte numbers and find the greater number in a memory location.
a signal franging from 1khz to 100khz will be put into a davice that will need amplification that will output to speakers. A 12v battery is available as a power source, however the current out of the battery should be kept to a minimum.
A warehouse contains 10 printing machines, 4 of which are defective. A company randomly selects five of the machines for purchase. What is the probability that all five of the machines are non-defective?
Two large flat charged plates are fixed parallel to one another in a large tank of distilled water with a total surface charge of 41.25×10-7 C on each plate (with opposite polarities). The plates are square, 4 m each side.
A series motor is now constructed from this machine by leaving the shunt field out entirely. Derive the torque-speed characteristic of the resulting motor.
Suppose there are two users on the cell edge. Users are scheduled on a TDMA basis, with equal time for each user. The received SINR of each user is 0 dB when it is transmitted to. Find the rate that each user gets. The total bandwidth is 1.25 MHz ..
If a silicon diffusion is doped with phosphorus (donors) at a concentration of 0.6 x 10^17/cm^3, what is the concentration of holes in this piece of silicon per cm^3 Assume ni = 1.45 x 10^10/cm^3, n = 1000 cm^2/V-s, p = 400 cm^2/V-s
For the difference equation below, find the impulse response by first solving without any transforms. Assume sequence is zero-valued for n
Design a 3-stage MOSFET amplifier that provides a differential gain |vo/vd| > 20V/V, a small common-mode gain, and an output resistance Ro >1kΩ. The amplifier is to drive a load RL = 10kΩ. The frequency of the signal source is 10 kHz.
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