Final answer:
The question regarding frequent flyer miles as personal property cannot be answered definitively in this context. For the statistical part, the probability that a selected respondent will spend over $2,000 and use a mile-giving credit card is 24%.
Step-by-step explanation:
The question concerning frequent flyer mileage credits accumulated during official travel pertains to organizational policy rather than mathematics and cannot be answered definitively without current referencing. However, for the purposes of the provided information concerning credits and probabilities as they relate to credit card use, we can provide an answer. The probability that a randomly selected respondent will spend more than $2,000 and use a credit card that gives them a mile of air travel for every dollar they charge can be calculated using conditional probability.
According to the information provided, 35 percent of respondents use a credit card that offers air travel miles for every dollar spent, and 30 percent of respondents spend more than $2,000 monthly. Of the respondents who spend more than $2,000, 80 percent use a credit card that awards air travel miles. Thus, the probability that a respondent will both spend more than $2,000 and use the mile-awarding credit card is found by multiplying the probability of spending more than $2,000 by the conditional probability of using the mile-awarding credit card given that they spend over $2,000: (0.30) * (0.80) = 0.24.