hw01 - (ii) (4 pts.) For every pair of events dened in part...

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ENEE 324 ASSIGNMENT 1 Due Tue 09/08 (All geographical information needed can be found on the Web. For part (iv), use the appropriate formula from spherical geometry.) A meteorite strikes Earth at a random point of latitude ζ 1 and longitude ζ 2 , both of which are measured in degrees. The range of ζ 1 is [ - 90 , 90], where positive values denote north. The range of ζ 2 is ( - 180 , 180], where positive values denote east. (i) (8 pts.) On the ( ζ 1 2 ) rectangle (sample space), sketch each of the events A 1 = “ point of impact is on the western hemisphere ” A 2 = “ point of impact is on the same meridian as New York City ” A 3 = “ point of impact is in the Arctic (i.e., north of the Arctic circle) ” A 4 = “ point of impact is within twenty degrees (north or south) of the equator ”
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Unformatted text preview: (ii) (4 pts.) For every pair of events dened in part (i), state whether the two events are disjoint or overlapping, and whether one event is subset of the other. (iii) (4 pts.) Similarly, determine whether the events A 5 = point of impact is no farther than 2,000 miles from New York and A 6 = point of impact is no farther than 2,000 miles from London are disjoint or overlapping, and whether one event is subset of the other. (iv) (4 pts.) Assuming that Earth is a perfect sphere, determine the fraction of its total surface represented by the event A 4 ....
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This note was uploaded on 03/21/2010 for the course ENEE 324 taught by Professor Ephrimedes during the Fall '05 term at Maryland.

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