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1. Given that x has a Poisson distribution with μ=4​, what is the probability that x=6​?...

1. Given that x has a Poisson distribution with μ=4​, what is the probability that x=6​? Round to four decimals.

2. Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find ​P(4​) when μ=7. Round to the nearest thousandth.

3. Given that x has a Poisson distribution with μ=0.4​, what is the probability that x=4​? Round to the nearest thousandth.

4. Describe the difference between the value of x in a binomial distribution and in a geometric distribution. Choose the correct answer below.

A. In a binomial​ distribution, the value of x represents the number of successes in n​ trials, while in a geometric​ distribution, the value of x represents the first trial that results in a success.

B. In a binomial​ distribution, the value of x represents the number of occurrences in one​ interval, while in a geometric​ distribution, the value of x represents the number of successes in n trials.

C. In a binomial​ distribution, the value of x represents the first trial that results in a​ success, while in a geometric​ distribution, the value of x represents the number of successes in n trials.

D. In a binomial​ distribution, the value of x represents the number of successes in n​ trials, while in a geometric​ distribution, the value of x represents the number of occurrences in one interval.

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