Final answer:
The student's questions pertain to calculating specific probabilities given certain conditions, which can be solved using fundamental probability concepts and formulas.
Step-by-step explanation:
The probability questions asked involve understanding and applying different probability concepts to solve real-world problems. With provided probabilities, we can calculate outcomes for various scenarios using combinations of these basic rules. For instance:
The probability of a certain event happening within a given number of trials can be found if we know the individual event probability.
Conditional probabilities are used when the probability of an event depends on another event.
The normal distribution can be used to find probabilities related to averages and sample means when the underlying population is normally distributed.
It's important to use the correct probability distributions and apply the right formulas for calculations, and then round answers to four decimal places as required.