Calculate Poisson probability with different types.

Args: lam: Lambda parameter (rate parameter, average events per interval) k: Number of events prob_type: Type of probability ("point", "cumulative", "survival")

Returns: Dictionary with probability value and distribution info

Calculate comprehensive descriptive statistics for a dataset.

Args: data: List of numerical values

Returns: Dictionary with various statistical measures

Calculate normal distribution probabilities.

Args: x: Value to calculate probability for mean: Mean of the normal distribution std_dev: Standard deviation of the normal distribution prob_type: Type of probability ("point", "cumulative", "survival")

Returns: Dictionary with probability value and distribution info

Perform correlation analysis between two datasets.

Args: x_data: First dataset y_data: Second dataset

Returns: Dictionary with correlation coefficients and analysis

Perform one-sample t-test.

Args: sample_data: Sample data for testing population_mean: Hypothesized population mean alpha: Significance level

Returns: Dictionary with test results

Perform simple linear regression analysis.

Args: x_data: Independent variable data y_data: Dependent variable data

Returns: Dictionary with regression results

Generate summary statistics from CSV text data.

Args: csv_text: CSV data as text delimiter: CSV delimiter

Returns: Dictionary with data summary and statistics

Calculate binomial probability.

Args: n: Number of trials k: Number of successes p: Probability of success on each trial prob_type: Type of probability ("point", "cumulative", "survival")

Returns: Dictionary with probability value and distribution info