Ultrasonic testing is performed every 1/10-th mile along a new section of highway to ensure that the pavement is thick enough. Each 1/10-th mile section is judged to be in compliance with Georgia Department of Transportation (GDOT) specifications if its measured thickness is 7.5 ≤ t inches; otherwise, the section is rejected. Past experience indicates that 90% of all sections are accepted as in compliance based on the test; however, the ultrasonic thickness measurement is known to be only 80% reliable, so that there is a 20% chance that the measured thickness is erroneous. (a) What is the probability that a particular section of pavement meets the specification AND will be accepted by GDOT? (b) What is the probability that a section is poorly constructed (i.e., its thickness is too low), but will be accepted on the basis of the ultrasonic measurement? (c) What is the probability that if a section is constructed properly, it will be accepted on the basis of the ultrasonic measurement?