Final answer:
The question involves finding the probabilities p and q in a binomial probability context. The value of p represents the probability of success, and q represents the probability of failure, with the condition that p + q = 1. To calculate p, divide the number of successes by the total number of trials and subtract p from 1 to find q.
Step-by-step explanation:
The student appears to be asking about finding the values of p and q in a binomial probability context. The exact nature of the question is unclear, but based on the provided information, it seems that they are involving calculations related to binomial probabilities, where p represents the probability of success on a single trial, and q represents the probability of failure on a single trial, with p + q = 1.
The provided solutions involve multiplying or adding values to adjust the variables, finding the probabilities using the number of occurrences, or using known ratios such as the outcomes of Bernoulli trials or binomial experiments. For example, in Solution 8.13, the student should divide the number of successes (x) by the total number of trials (n) to find p, and then subtract p from 1 to find q.
In the context of binomial probabilities, remember that the probability of success (p) plus the probability of failure (q) always equals 1. To find the probability of a particular event happening on a specific trial, such as the probability of the first occurrence of an event F on the second trial, one would use the binomial probability formula taking into account both p and q, and the number of trials.