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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?
Let I be an ideal of R and let S be a subring of R. prove that I(intersection)S is an ideal of S. ALSO, show by some example that not every ideal of a subring S of a ring R
E = z / 2 A sample of the reading scores of 35 fifth-graders has a mean of 82. The standard deviation of the sample is 15. a. Find the 95% confidence interval of the mean reading scores of all fifthgraders.
The table below shows the number of gallons of heating oil delivered to a residential customer each December from 1986 to 1993.
Imagine you've been left in charge of an ice cream stall and you have three flavours of ice cream to sell - vanilla, strawberry and chocolate.
A set of digits consists of one 1, two 9's, and one 7. A pair of these digits is randomly selected without replacement. What is the probability that the pair can be arranged to form a two-digit prime number?
Kathleen and Lindsey are unsure how to route the posters from one stage to the next to make as many posters as they possibly can at the lowest cost. Determine how to route the posters through the various stages for Graphic Palette to minimize cost..
The book cost (in dollars) for one semester's books are given below for a sample of five college students. Calculate the sample variance of the book costs.
The students in the 12-member advanced communications design class at Center City Community College are submitting a project to a national competition
estimate the area under the graph of f(x) = cosx from x=0 to x = bi/2 using four approximating rectangles and right end point. Sketch the graph and the rectangles. Is your estimate an underestimate or an overestimate?
Let p be a prime, let K be a number not divisible by p, and let b be a number that has a kth root modulo p. Find a formula for the number of kth roots of b modulo p and prove that your formula is correct. (hint. your formula should only depend on ..
analyzing the use of large samples in surveys.give your understanding of why people doing polling and opinion surveys
A man rows a boat 420 feet upstream against a constant current in 14 minutes. He then rows 350 feet downstream (with the same current) in 7 minutes. Find the speed of the current and the equivalent rate at which he can row in still water. Find spe..
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