Final answer:
To find the probability that at least one home is sold, we need to subtract the probability of selling zero homes from 1. However, the given probabilities don't include the probability for zero homes, suggesting it may be assumed to be 0 or the information is incomplete.
Step-by-step explanation:
The question asked revolves around the concept of probability distribution of a random variable, specifically the likelihood of a realtor at Sendsom's Real Estate Office selling at least one home in a given month. To calculate the probability of selling at least one home, we can subtract the probability of not selling any homes from 1. This is because the probabilities of all possible outcomes must add up to 1.
In this case, however, the provided probabilities do not include the probability for selling zero homes. Assuming that the probabilities listed are for selling 1, 2, 3, 4, 5, 6, 7, and 8 homes respectively and given that the sum of probabilities provided adds up to 1, we conclude that the probability of selling zero homes is already factored into the provided probabilities, and therefore is 0. Hence, the probability for selling at least one home is already summed up as 1 (as all provided probabilities pertain to selling at least one home).
If, on the other hand, the probability list is incomplete or the probability of selling zero homes is simply not listed, you would need the probability of selling zero homes to calculate the exact answer, and should ask for that information to be able to finish the problem properly.