3. (35 pts.) The Minnesota Department of Natural Resources used to (I think funding ended) conduct a frog call count survey each year. In this monitoring program, a set of locations was visited and for each location it was recorded whether certain species of frogs were heard during a fixed "listening period" Amphibians are generally believed to be some of our more sensitive indicator of environmental degradation, so a decline in the number of locations at which frogs were heard would be a negative indicator of environmental health. Ther are, of course, a great number of complicating factors in this type of stud (such as weather) that I am ignoring to make the problem simple enough fo us to deal with. Suppose there are a listening locations in a region and in a given year ead location is recorded as having a value of 1 if a certain species of frog was heard and a value of 0 if that species of frog was not heard. We will consider thre years, denoted as years 1, 2, and 3. Our objective is to determine whether th data contain evidence that the probabilities of hearing the chosen species frog have changed over time. (a) Define random variables appropriate for the basic operation of observa tion, which is recording whether frogs were heard at a location in a year What are the possible values of these random variables? Assuming ables from part fal