It looks like you have uploaded an assignment on "Mathematical Foundations for Computer Science." The document contains a series of probability and statistics questions, such as calculating probabilities, fitting distributions, and finding statistical measures like mean and variance.

Would you like help with solving any specific question from this assignment? I can guide you through the steps for solving any of these problems or provide detailed solutions.

Here are five questions related to probability and statistics from your assignment:

1. How do you calculate the probability of selecting a fair-complexioned rich girl from a class?
2. How do you compute the mode of a binomial distribution?
3. What steps are involved in solving a problem using Bayes' theorem (e.g., defective bolts problem)?
4. How can you find the mean and variance for a random variable with a probability distribution?
5. How do you calculate probabilities in a Poisson distribution (e.g., the typist mistake problem)?

Tip: When working with probability distributions, always verify that the sum of probabilities equals 1. This ensures the distribution is valid.