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A network intrusion software uses two systems to detect intruders. If an intruder is present, system A sounds the alarm 90% of the time, while system B sounds the alarm 95% of the time. If no intruder is present then system A sounds the alarm 20% of the time and system B only 10% of the time. You may assume that under a given condition (intruder present or not) the two systems operate independently
a) If there is an intruder, what is the probability that both systems sound an alarm? b) If there is no intruder, what is the probability that both systems sound an alarm? c) If there is an intruder, what is the probability that at least one of the alarms will sound? d) A particular network has an intruder with 40% probability. Given that both alarms sound, what is the probability than an intruder is present in the network?
A tourist in France wants to visit 6 different cities. If the route is randomly selected, what is the probability that she will visit the cities
An experimenter has conducted a single-factor experiment with six levels of the factor, and each factor level has been replicated three times. The computer value of the F-statistic is F0=3.26. Find bounds on the P-value.
A Norman window consists of a rectangle surmounted by a semicircle. The window has rectangular portion of the window has width 4" and height 6". (a) Find the area of the window. (b) How much wood trim is needed to boarder the window?
in fiscal year 2000, the U.S. government had a budget surplus of 99 billion (99 X 10^9) dollars. How many years of such surpluses would be needed to pay off the debt, as of July 2004, of 7.26 trillion (7.26*10^12) dollars?
10% of all doctors recommend a new headache medicine. if we randomly select 20 doctors (and assume independence), find the probability at least 2 recommend the medicine.
Find all subfields of Q ( sqrt2, sqrt 3) with proof that you have them all. What is the minimal polynomial of sqrt2+ sqrt3? Which subfields does it generate over Q?
A rectangular field is to be enclosed with a fence. One side of the fence is against an existing fence, so that no fence is needed on that side. If material for the fence costs $2 per foot for the two ends and $4 per foot for the side parallel to ..
A driver involved in an accident claims he was going only 42 MPH. When police tested his car, they found that when his brakes were applied at 42 MPH, the car skidded 160 feet before coming to a stop.
In your own words, what are rational expressions? Why is factoring an important part of simplifying a rational expression? Why must we always be mindful of the final value of the denominator in a rational expression?
Let R represent a county in the northern part of the united states, and let S(x,y) represent the annual snowfall at the point (x,y)in R. Give the interpretation of:
plane is flying at an altitude of 32,000 feet. The distance between the plane and a radio tower on the ground is 50,000 feet. What is the angle of depression between the plane and radio tower (round to 1 decimal place)?
Important information about Probability : Random Selection, A man has been guessing colors of cards drawn from a standard deck of cards. During the first 50 draws he kept track of the number of cards of each color
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