A giant wooden tripod is pushed onto the ice of the Tanana river every winter by the town of Nenana. The top of the structure is attached to a clock via a wire, to record the moment that the structure falls through the ice in the spring. To bet in the Nenana Ice Classic, you choose a date and time. You want your chosen time to be as close as possible to the actual time that the tripod falls through the ice and stops the clock. Let 7' be the random variable corresponding to the time that the tripod falls through the ice and stops the clock. You think that the PDF of T is approximated by f(z ) ~ 260 5 - COS ( 12 2') - 20 ( 12 X)2 -40 S x 5 40 otherwise where a gives the number of hours after midnight, May 1. (Negative values of a correspond to dates in April.) This function is graphed below. -32 -11 11 32 Choose all correct interpretations below. A. Since f() is an even function, the tripod is most likely to fall around midnight on May 1st. B. f(11) > f(32), so the probability that the tripod falls at a time close to 11:00 am on May 1st is greater than the probability that the tripod falls at a time close to 8:00 am on May 2nd. c. f(11) > f(32), so the probability that the tripod falls at exactly 11:00 am on May 1st is greater than the probability that the tripod falls at exactly 8:00 am on May 2nd. D. Since f(x) is an even function, the tripod is equally likely to fall before or after midnight on May 1st. DE. Since f(a) is increasing at a = 5, the tripod is more likely to fall after 5:00 am on May 1st than it is to fall before 5:00 am on May 1st