Final answer:
The student's question concerns the probabilities, mean, and standard deviation calculations for the distribution of a disease, which falls under the subject of mathematics at the college level.
Step-by-step explanation:
The student appears to be asking about probabilities related to the occurrence of a disease, which is a topic covered in statistics, a branch of mathematics. The questions involve calculating probabilities, means, and standard deviations using concepts from probability distributions such as the binomial distribution. The use of random sampling and hypothesis testing to compare data suggests an advanced level of study, aligning with the college grade.
For example, to find the mean number of people who will develop the disease (Solution 4.14 part b), one would use the formula for the mean of a binomial distribution: mean = n ∗ p, where n is the number of trials and p is the probability of success on each trial. The standard deviation can be found using the formula for the standard deviation of a binomial distribution:
To answer the student's question more directly, we could use concepts like conditional probability and independence, and techniques like hypothesis testing to answer the various parts of their question.