Practice Key Discrete And Continuous Distributions (2) - Statistics - Mathematics III (PDE, Probability & Statistics)

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6 sample questions

Question 1.
Define the binomial distribution.
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Think about success and failures.
Question 2.
What is the formula for the Poisson distribution?
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Recall the average occurrence.
3Question 3.
What is the probability mass function of the binomial distribution?
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Think about combinations.
4Question 4.
True or False: The mean and variance of a Poisson distribution are both equal to λ.
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Consider characteristics of λ.
Question 5.
A factory produces light bulbs, and historically, 3% are defective. If 200 bulbs are selected, what is the probability of finding exactly 6 defective bulbs?
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First find the necessary combination and then apply the probabilities.
Question 6.
In a small town, the average number of accidents at a certain intersection is 1.5 per month. Calculate the probability of observing exactly 3 accidents in a month.
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Remember to compute e raised to the negative of λ.

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