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NumPy Poisson Distribution

The NumPy Poisson Distribution is a statistical distribution that is used to model the number of times an event occurs in a fixed interval of time or space. It is a discrete probability distribution that is often used in fields such as physics, biology, and finance.

The Poisson Distribution is named after the French mathematician Siméon Denis Poisson, who first introduced the concept in the early 19th century. It is a probability distribution that describes the probability of a given number of events occurring in a fixed interval of time or space, given the average rate of occurrence.

The NumPy Poisson Distribution is a function that is used to generate random numbers that follow a Poisson distribution. It takes two arguments: the mean or average rate of occurrence, and the size of the output array. The output array contains random numbers that follow a Poisson distribution with the specified mean or average rate of occurrence.

Here is an example of how to use the NumPy Poisson Distribution:

import numpy as np

# Generate 100 random numbers that follow a Poisson distribution with a mean of 5
x = np.random.poisson(lam=5, size=100)

print(x)

In this example, we are using the NumPy random.poisson() function to generate 100 random numbers that follow a Poisson distribution with a mean of 5. The output array is stored in the variable x, and is printed to the console.

The output of this code will be an array of 100 random numbers that follow a Poisson distribution with a mean of 5. The actual values of the numbers will vary each time the code is run, as they are generated randomly.

The NumPy Poisson Distribution is a powerful tool for modeling and analyzing data that follows a Poisson distribution. It is widely used in a variety of fields, and is an essential tool for any data scientist or analyst.

Conclusion

The NumPy Poisson Distribution is a powerful tool for modeling and analyzing data that follows a Poisson distribution. It is widely used in a variety of fields, and is an essential tool for any data scientist or analyst.

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