Final answer:
The question is asking for the probability calculation related to online retail orders and potential fraud, specifically the probability of all orders on a given day to be legitimate based on a given individual order fraud probability. It involves concepts of binomial distribution and confidence intervals in statistics.
Step-by-step explanation:
The question appears to be concerned with the probability of online retail orders being fraudulent, given a probability of 0.07 for an individual order. More specifically, it might be asking for the probability that all 19 orders on a given day are not fraudulent, which can be found by calculating the probability that each order is not fraudulent (1 - 0.07), and raising this to the power of the number of orders (19).
We can also refer to the provided information to illustrate types of probability questions. For instance, we are 95 percent confident that the true proportion of all statistics students who use the product is between 0.113 and 0.439, which relates to confidence intervals in statistics. Moreover, when it comes to expectations, like in dice rolling, we compute probabilities based on the number of possible outcomes and their likelihood.
The data provided in the question about college and universities offering online offerings (0.96 probability for each of 13 institutions) can be modeled using a binomial distribution, from which we can find the expected number of institutions offering online courses (which would be 12.48).