Question 6. A highway traffic condition during a blizzard is hazardous. Suppose one traffic accident is expected to occur in each 50 miles of highway on a blizzard day. Assume that the occurrence of accidents along the highway is modeled by a Poisson process. For a stretch of highway that is 20 miles long; a) What is the probability that at least one accident will occur on a given blizzard day? b) Suppose there are five blizzard days this winter. What is the probability that two out of these five blizzard days are accident free (no accident)? Assume that accident occurrences between blizzard days are statistically independent.

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Question 6. A highway traffic condition during a blizzard is hazardous. Suppose one traffic accident is expected to
occur in each 50 miles of highway on a blizzard day. Assume that the occurrence of accidents along the highway is
modeled by a Poisson process. For a stretch of highway that is 20 miles long;
a) What is the probability that at least one accident will occur on a given blizzard day?
b) Suppose there are five blizzard days this winter. What is the probability that two out of these five blizzard
days are accident free (no accident)? Assume that accident occurrences between blizzard days are
statistically independent.
Transcribed Image Text:Question 6. A highway traffic condition during a blizzard is hazardous. Suppose one traffic accident is expected to occur in each 50 miles of highway on a blizzard day. Assume that the occurrence of accidents along the highway is modeled by a Poisson process. For a stretch of highway that is 20 miles long; a) What is the probability that at least one accident will occur on a given blizzard day? b) Suppose there are five blizzard days this winter. What is the probability that two out of these five blizzard days are accident free (no accident)? Assume that accident occurrences between blizzard days are statistically independent.
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