Search and Rescue of DND provides various statistics on boating accidents in he Maritimes and B.C. These statistics include information on the wind speed at the time of the accident. The following chart includes information recorded for 184 accidents on both coasts for the same time period: Wind Conditions Accidents West Coast Accidents East Coast Nil 13 6 Light 74 42 Moderate 30 15 Strong or higher 3 1 a) Suppose xe indicates the wind conditions in the East Coast where xe=0 indicates Nil, xe=1 indicates Light, xe = 2 indicates moderate and xe = 3 indicates Strong or Storm. Also suppose that xw indicates the wind conditions on the West Coast and xt indicates the total number of boating accidents on both coasts. Develop probability distributions for xe, xw and the total xt. What is the expected number of boating accidents on the East and West coasts and the total number? Compute the expected value of xe, xw and xt. Compute the variance and standard deviation of all three variables. Comment on what your results imply for wind conditions and boating accidents.
Search and Rescue of DND provides various statistics on boating accidents in he Maritimes and B.C. These statistics include information on the wind speed at the time of the accident. The following chart includes information recorded for 184 accidents on both coasts for the same time period:
Wind Conditions Accidents West Coast Accidents East Coast
Nil 13 6
Light 74 42
Moderate 30 15
Strong or higher 3 1
a) Suppose xe indicates the wind conditions in the East Coast where xe=0 indicates Nil, xe=1 indicates Light, xe = 2 indicates moderate and xe = 3 indicates Strong or Storm. Also suppose that xw indicates the wind conditions on the West Coast and xt indicates the total number of boating accidents on both coasts.
- Develop
probability distributions for xe, xw and the total xt. - What is the expected number of boating accidents on the East and West coasts and the total number?
- Compute the
expected value of xe, xw and xt. - Compute the variance and standard deviation of all three variables.
- Comment on what your results imply for wind conditions and boating accidents.
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