4. Poisson Binomial An experiment involves rolling a die 6 times and counting the number of 2s...
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4. Poisson Binomial An experiment involves rolling a die 6 times and counting the number of 2s that occur. If we calculate the probability of x 0 occurrences of 2 using the Poisson distribution, we get 0.368, but we get 0.335 if we use the binomial distribution. Which is the correct probability of getting no 2s when a die is rolled 6 times? Why is the other probability wrong?
Using a Poisson Distribution to Find Probability. In Exercises 5–8, assume that the Poisson distribution applies and proceed to use the given mean to find the indicated probability.
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