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When evaluating the integral from 0 to x, the evaluation should be -exp(...) - (-exp(...)). The current display omits the negations of exp.

Develop the theory for the exponential distribution where the parameter is lambda instead of 1/beta.

As a start, define the natural logarithm.

The proof of the limit of (1 + 1/n)^n = e will be a useful proof to reference in other proofs, such as the Central Limit Theorem proof.

Reference [https://mathcs.clarku.edu/~djoyce/ma122/elimit.pdf](Clark University)
Save a copy of the pdf in the repository for reference.

Search for any instances of \@ref() or \ref{} and make sure they are resolved to the appropriate label.

Update the bibliography and get those references to appear correctly.

There are probably more texts and articles that need to be added to the .bib file.

The exponent follow (1 - 2t) in the final step of the proof for the sum of chi-square random variables should be negated.

provide the proof for the gamma function where exp(-c*t). (See class notes)

Add a chapter for the central limit thorem proof.

E-156 Problem Set 2, Problems 4 - 7

Include single and two parameter distributions.

Develop the theory behind the geometric distribution where the random variable X is the number of failures (instead of the attempt of the first success).

In the variant, x runs from (0, Inf)

These chapters need to be done as the ANOVA, Bernoulli, and Binomial chapters reference sections in them, and I'd like to resolve the references earlier.

• Variance (section 3.1 referenced in ANOVA)
• Summation (1.4 - 1.8 referenced in ANOVA)
• Binomial Theorem (referenced in binomial distribution)
• Integration (referenced by ChiSquare Distribution
• Functions (referenced by Integration)
• HyperGeometric
• LogExp
• Logistic Regression
• Mantel Haenszel
• McNemar
• Moments
• Multinomial
• Normal
• Poisson
• Probability
• Real Numbers
• Skew Normal
• Somers D
• Transformation
• Uniform
• Weibull