It turns out the criteria is very simple
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The ellipse intersects a horizontal line y=y1 if and only if the following equation hods:
△1=σ2(cos2(θ0)+κ2sin2(θ0))−(y1−y0)2≥0
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The ellipse intersects a vertical line x=x1 if and only if the following equation hods:
△2=σ2(sin2(θ0)+κ2cos2(θ0))−(x1−x0)2≥0
2 comments:
hi i have a hard question if you help me i will be very happy; In a country, there are four types of banknotes: 5, 10, 20 and 25 unit values. Each banknote has a serial number with more than four digits. A banknote is chosen randomly. What is the probability that the sum of the four last digits of the serial number is bigger than the banknote unit value?
Note:Four banknote types, and all the serial numbers (...0000 - ...9999) can be chosen with equal probability.
If the larger number is under the x, then the ellipse is horizontal. If it is under the y then it is vertical.
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