A radar system is designed such that the probability of detecting the presence of anaircraft in its range is 98%. However, if no aircraft is present in its range it still reports(falsely) that an aircraft is present with a probability of 5%. At any time, the probabilitythat an aircraft is present within the range of the radar is 7%.The probability that an aircraft is present in the range of the radar given that no aircraftis detected is:0.40390.00158O None of other optionsO 0.596

Let is define some events A : aircraft is present in the range. B : aircraft is not present in the…

Answered: A radar system is designed such that…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The probability that Washington will not have an earthquake is 0.98 in a year. Find the probability that Washiington will have at least one earthquake in the next 10 years. Assume occurrences of earthquakes are independent of each other.
In a group of children the probability a child had black hair is 0.7. The probability that a child has brown eyes is 0.55. The probability the child has has either black hair or brown eyes 0.85. What is the probability that a child chosen at random has both black hair and brown eyes?
The probability that a visit to a primary care physician's (PCP) office results in neither lab work nor referral to a specialist is 45%. Of those coming to a PCP's office, 40% are referred to specialists and 40% require lab work. Calculate the probability that a visit to a PCP's office results in both lab work and referral to a specialist.
There are two bags, one bag contains Smarties and the other bag contains M&M's. The probability of randomly selecting a red Smartie is 0.54. The probability of randomly selecting a red Smartie from the first bag and a yellow M&M from the second bag is 0.46. The probability, to the nearest hundredth, of selecting a yellow M&M from the second bag is:
During a Kansas tornado season, the probability a local grocery store experiences power outage on any workday is 0.125. Calculate the probability that during a regular work week (Monday-Friday) the store experiences power outage (d) On at least one day
A minesweeper uses a robot to check two routes (A or B) for mines. The probability that the robot will go by route A is 49%. If it goes by route A, the probability of hitting a mine and exploding is 67%. If it goes by route B, the probability of hitting a mine and exploding is 34%. Given that the robot exploded, find the probability that it went via route A. (3 d.p.)
A person died prematurely, find the probability with which he could have been a heavy smoker given the following data: Off all people: 50% of people don't smoke, 20% are light smokers & 30% are heavy smokers. Heavy smokers are twice as likely to die prematurely as light smokers, light (6 marks) smokers are twice as likely to die prematurely as nonsmokers.
The windshield wipers on a car have not been working properly. The probability that the car needs a new motor is 0.65, the probability that the car needs a new switch is 0.4, and the probability that the car needs both is 0.2. What is the probability that the car needs neither a new motor nor a new switch?
A certain disease has an incidence rate of 0.8%. If the false negative rate is 8% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
A certain disease has an incidence rate of 0.8%. If the false negative rate is 5% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.
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The probability of a thunderstorm on Memorial Day is 0.13 and the probability of a thunderstorm on Independence Day is 0.59. Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial and Independence Day?

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