The COVID-19, a contagious disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) has spread worldwide for over two years. USA is one of the several countries hardest hit by the pandemic.. Though younger people are less infected, it is considered that 10% of a college-aged population In the US has COVID-19. So far, PCR has been a gold- standard diagnostic test used to detect the disease but it always not accurate. Data shows the sensitivity and specificity of the test are 80% and 98% respectively. Denote D+ -> infected, D- - Not infected, T+ - Positive PCR and T- - Negative PCR 1. Draw a tree diagram for the problem stated above. 2. Determine P (T+ ), total probability of It. 3. Determine P (T-), total probability of T-. 4. If a randomly chosen college student is tested positive, determine the probability that the student is infected from COVID-19. 5. If a randomly chosen college student is tested negative, determine the probability that the student is infected from COVID-19