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  1. The rvs method in the scipy.stats module is used to generate random variates from a specified probability distribution. It is highly versatile and supports various distributions like normal, uniform, Poisson, etc.

    Example: Generating Random Variates

    from scipy.stats import norm, uniform, poisson

    # Generate random samples
    normal_samples = norm.rvs(loc=0, scale=1, size=5) # Normal distribution
    uniform_samples = uniform.rvs(loc=0, scale=10, size=5) # Uniform distribution
    poisson_samples = poisson.rvs(mu=3, size=5) # Poisson distribution

    print("Normal Samples:", normal_samples)
    print("Uniform Samples:", uniform_samples)
    print("Poisson Samples:", poisson_samples)
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    Key Parameters

    • loc: Specifies the location (mean for normal distribution).

    • scale: Specifies the scale (standard deviation for normal distribution).

    • size: Number of random variates to generate.

    • random_state: Ensures reproducibility by setting a seed.

    Important Considerations

    • The rvs method is flexible and works with both continuous and discrete distributions.

    • For large datasets or simulations, ensure proper memory management when generating a high number of samples.

    • Use random_state for consistent results across runs.

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