Asked by Michelle Stobaugh on May 06, 2024

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The number of traffic accidents per day on a certain section of highway is thought to be Poisson distributed with a mean equal 2.19. Then the standard deviation of number of accidents is:

A) 2.19
B) approximately 4.80
C) approximately 1.48
D) 3.14
E) (2.19) 2

Traffic Accidents

Unforeseen and unplanned events on the roadways that involve vehicles causing damage, injury, or death.

Poisson Distributed

A probability distribution that measures the probability of a given number of events happening in a fixed interval of time or space.

Standard Deviation

The statistic that quantifies the spread of a dataset or distribution, showing how extensively the data points diverge from the average value.

  • Formulate the probabilities and determinants (mean, variance) related to events following the Poisson distribution.
  • Understand the relationship between mean and variance in Poisson distribution.
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CB
Charisse BlackwellMay 12, 2024
Final Answer :
C
Explanation :
For a Poisson distribution, the variance is equal to the mean. Therefore, the standard deviation is the square root of the mean, which in this case is approximately 1.48.