Question

The following table presents the number of reports of graffiti in each of New York's five boroughs over a one-year period. These reports were classified as being open, closed, or pending. A graffiti report is selected at random. Compute the following probabilities. Round final answer to four decimal places. Total Borough Open Closed Pending Reports Reports Reports Bronx 1121 1622 80 Brooklyn 1170 2706 48 Manhattan 744 3380 25 Queens 1353 2043 25 Staten Island 83 118 0 2823 3924 4149 3421 201 Total 4471 9869 178 14,518 Source: NYC OpenData Send data tool Part 1 of 6 (a) The report is closed and comes from Manhattan. The probability that the report is closed and comes from Manhattan is Part 2 of 6 (b) The report is open or comes from Queens. Check Answer Serve For Later Submit Assignment

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Answer 1

1. 3380/14518=0.2328
2. (4471+3421-1353)/14518=0.4504 (using the formula for union of events)
3. 201/14518= 0.0138
4. 1-201/14518= 0.9862
5. 4471/14518=0.3080
6. (201+3924)/14518=0.2841 (as the events are mutually exclusive)

In each case the probability of an event is computed as the number of cases favorable to it divided by the total number of cases 14518.