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Poisson distribution is
  • a)
    always symmetric.
  • b)
    always positively skewed.
  • c)
    always negatively skewed.
  • d)
    symmetric only when m = 2.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Poisson distribution isa)always symmetric.b)always positively skewed.c...
The Poisson distribution is a probability distribution that represents the number of times an event occurs in a fixed interval of time or space. For example, the number of cars passing through a particular intersection in an hour or the number of customers arriving at a grocery store in a day.

Positively skewed distribution:

A distribution is said to be positively skewed if the tail of the distribution extends towards the right side of the graph. This means that the majority of the values are clustered on the left side of the graph, and there are a few extreme values on the right side.

The Poisson distribution is positively skewed because:

- The distribution is bounded below by zero, which means that the tail cannot extend to the left side of the graph.
- The distribution has a long tail on the right-hand side. This means that there are a few extreme values that occur with a low probability.

Properties of Poisson distribution that make it positively skewed:

- The mean and variance of a Poisson distribution are equal to the parameter λ, which represents the average number of events in the interval. This means that the distribution is centered around this value.
- However, as λ increases, the distribution becomes more spread out and the probability of extreme values increases. This causes the distribution to become more positively skewed.

Therefore, the correct answer is option 'B' - the Poisson distribution is always positively skewed.
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Poisson distribution isa)always symmetric.b)always positively skewed.c)always negatively skewed.d)symmetric only when m = 2.Correct answer is option 'B'. Can you explain this answer?
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