Suppose that a coin is tossed three so that the sample space isLet X represent the number of heads that can come up.i) Find the probability function corresponding to the random variable X.Assuming that the coin is fairii) Find the distribution function for the random variable X.iii) Obtain its graph.

The coin is tossed three times, and the coin is fair.The random variable X represents the number of…

Answered: Suppose that a coin is tossed three so…

EBK ELECTRICAL WIRING RESIDENTIAL

19th Edition

ISBN:9781337516549

Author:Simmons

Publisher:Simmons

Chapter29: Service-entrance Calculations

Section: Chapter Questions

Problem 3R: a. What is the ampere rating of the circuits that are provided for the small-appliance loads? _____...

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An office building has two elevators. the probability is 0.02 that any elevator of this type will fall to function. Find the probability that both of these elevators will fail to function.
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16. The average inside diameter of a sample of 2,000 washers produced by a machine is 0.550 inches with a standard deviation of 0.007 inches. These washers are manufactured with a maximum allowable tolerance in the diameter from 0.529 to 0.571 inches; otherwise, the washers are considered defective. Determine the number of defective washers produced by the machine, assuming that the diameters are normally distributed. (Round off your answer in whole number and without unit)
A common method for detecting a signal in the presence of noise is to establish a threshold level and compare the value of any observation with this threshold. If the threshold is exceeded, it is decided that signal is present. Sometimes, of course, noise alone will exceed the threshold and this is known as a "false alarm". Usually, it is desired to make the probability of a false alarm very small. At the same time, we would like for any observation that does contain a signal plus the noise to exceed the threshold with a large probability. This is the probability of detection and should be as close to 1 as possible. Suppose we have Gaussian noise with zero mean and a variance of 1 V² and we set the threshold level of 5 volts. a) Find the probability of false alarm. b) If a signal having a value of 8 volts is observed in the presence of the noise, find the probability of detection.
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15) Group-A (a) Let 1 and 2 be unbiased estimators for the parameter 0. Is the estimator 03 = 0.2 0₁ + 0.8 0₂ an unbiased estimator, if yes, why, if not, why not? Explain your answer. (b) Suppose there are n individuals in a group each shooting once at the same target, where each individual can independently hit the target with the probability of 90%. Assuming the probability that at least one of them hits the target is 99.99%, determine the value of the integer n. Use a calculator to simplify your answer. (c) Noting that you do not need to explain your answer, state whether the following statement regarding the sample mean is true or false: "An increase in the number of samples or an increase in the confidence level can make the confidence interval narrower."
Question 1 Digital Electronics and Combinational Logic la) Analog and Digital Electronics i. Write either "digital" or "analog" in this to indicate whether the property in that row is typical of digital electronics or analog electronics. The first row has been completed as an example. Property Difficult, manual circuit design Continuous valued signals Tolerant of electrical noise Circuit state tends to leak Intolerant of component variations Digital/Analog Analog ii. In older cars the timing of the electrical pulses to the spark plugs was controlled by a mechanical distributor. This contained a rotating contact that was mechanically linked to the rotation of the engine. Newer cars use electronic ignition. Electrical sensors detect the position and speed of the motor and a digital controller sends ignition pulses to the spark plugs. Briefly describe 2 likely benefits of the digital electronic ignition system over the mechanical one. An example is given first. More flexible control: the…
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We want to design a digital circuit that converts Gray code (ABC) to Binary code (xyz). Set up a 8-to- 1 line multiplexer so that the output gives y as a function of ABC. "A" is given to the most significant bit of the control inputs of the multiplexer. "C" is given to the least significant bit of the control inputs of the multiplexer.
48 Exercise Exercise-1: If the 20 kHz signal is under-sampled at 30 kHz, find the aliased frequency of the signal. Exercise-2: A voice signal is sampled at 8000 samples per second. i. What is the time between samples? ii. What is the maximum frequency that will be recovered from the signal? Exercise-3: An analog Electromyogram (EMG) signal contains useful frequencies up to 3000 Hz. i. Determine the minimum required sampling rate to avoid aliasing. ii. Suppose that we sample this signal at a rate of 6500 samples/s. what is the highest frequency that can be represented uniquely at this sampling rate?

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