2.Power received at the radar receiver can be described in terms of anexponential random variable. In the absence of any target, the powerreceived is an exponential variable with a mean of 1 mW. When target ispresent, power received is also an exponential variable with a mean of 16mW. If the threshold for decision is set to 4 mW, obtain the probabilities ofFalse Alarm and Miss. If the chances of the target being present are only10%, what is the probability of error in this decision-making process? Drawa transition matrix.

Power received when target is present is an exponential variable with mean of 16 mW.Power received…

Answered: Power received at the radar receiver…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A medical researcher claims that 60% of people with shellfish allergies do not have their first allergic reaction until adulthood. This value seems suspicious to a class of statistics students, so they ask an SRS of 30 adults with a shellfish allergy when they experienced their first allergic reaction. Fourteen of the adults experienced their first allergic reaction in adulthood. To see if this result is surprising, the class conducts a simulation to estimate the probability of obtaining a sample result as low as the one in their sample. Let 0–5 represent "adulthood” and 6–9 represent "before adulthood.” Using the line of random numbers, how many "adulthood” responses are in the first trial of the simulation? 5 10 15 20
A manufacturer of light-emitting diode (LED) lights has tested its lights and found that the percent chance P that a light will fail after t hrs of use can be approximated by the following. 6/30,000 P=100 (a) What is the percent chance that one of the company's LED lights will fail after 20,000 hrs? Round to the nearest tenth. (b) In how many hours will the chance of an LED light failing reach 20%? Round to the nearest thousand. hr
Suppose you were selected from a population at random to take a medical test. It is believed that there is a 5% chance that you are ill (i.e. you have the disease), since that is the disease prevalence for asymptomatic people like yourself. Suppose that the test you take has some error rate. If you are ill, it will correctly identify you as positive 90% of the time. If you not ill, it will give a false positive 2% of the time. What is probability that you are ill given a positive test result?
A machine can process two online applications in 60 minutes. Answer the following questions. What would be an appropriate random variable? What would be the exponential-distribution counterpart to the random variable? Identify the mean of x, where x = minutes until the next occurrence and determine the following: P (x ≥ 30.0) P (x ≤ 10) The machine must be disconnected for service for 45 minutes. What is the probability that an online application will be sent while the machine is out of service?
The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probability of a bulb lasting for at least 583 hours. Round your answer to four decimal places
The cost of 5 gallons of ice cream has a variance of 36 with a mean of 35 dollars during the summer. What is the probability that the sample mean would be less than 33.8 dollars if a sample of 96 5-gallon pails is randomly selected? Round your answer to four decimal places.
The Food Marketing Institute shows that 16% of households spend more than $100 per week on groceries. Assume the population proportion is p = 0.16 and a sample of 800 households will be selected from the population. Use z-table. Calculate (p), the standard error of the proportion of households spending more than $100 per week on groceries (to 4 decimals). What is the probability that the sample proportion will be within +/- 0.02 of the population proportion (to 4 decimals)? What is the probability that the sample proportion will be within +/- 0.02 of the population proportion for a sample of 1,800 households (to 4 decimals)?
When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial samples of different blood specimens. If samples from five people are combined and the mixture tests negative, we know that all five individual samples are negative. Find the probability of a positive result for five samples combined into one mixture, assuming the probability of an individual blood sample testing positive for the virus is 0.02 Round the answer to four decimal place accuracy.
From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?
In a study of 415,282 cell phone users, it was found that 64 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is a 0.000165 probability of a person developing cancer of the brain or nervous system. We therefore expect about 69 cases of such cancer in a group of 415,282 people. Estimate the probability of 64 or fewer cases of such cancer in a group of 415,282 people. What do these results suggest about media reports that cell phones cause cancer of the brain or nervous system? (a) P(xs 64) = (Round to four decimal places as needed.)
From observations of the weather, it is known that on October 20 the probability of rain is 0.25. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?
A politician claims that 65% of voters favor reducing the number of troops stationed in Germany. A pollster surveys a random sample of 500 voters and finds that only 60% of the sample favor reducing the number of troops stationed in Germany. Assuming that the politician is correct that the population proportion is 65%, what is the probability of getting a sample proportion of 60% or less in a random sample of 500 voters? Round your answer to 3 decimal places.

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