2. Since the early 1980s, the rapid antigen detection test (RADT) of group A streptococcushas been used to detect strep throat. A recent study of the accuracy of this test shows that the sensitivity, the probability of a positive RADT given the person has strep throat, is 86% in children, while the specificity, the probability of a negative RADT given the person does not have strep throat, is 92% in children. The prevalence, the probability of having group A strep, is 37% in children. Let A = the event the child has strep throat, and B = the event the child has a positive RADT. a. Identify what each numerical value given in the problem represents in probability notation. 0.86 = 0.92 = 0.37 = b. Create a hypothetical two-way table to represent the situation. Total Total 100,000 c. Find P(A and B). What does this probability represent in the context of the problem? d. Find the probability that a child with a positive RADT actually has strep throat. What is the notation used for this probability