3. Consider the bone mineral density (BMD) data in the table below as measured by a new portable device crossed with confirmed fractures as assessed by experienced medical practitioners. A BMD of 0.57 and greater than 0.57 indicate a possible fracture or not, respectively. First, determine the row and column totals, and answer the questions. Confirmed Fracture New Device Present Not Present Total BMD = 0.57 167 581 BMD > 0.57 53 436 Total a. What is the sensitivity of the device? b. Explain the sensitivity in a single sentence using its probabilistic technical definition and your numerical result in the context of this data. c. What is the specificity of the device? d. Explain the specificity in a single sentence using its probabilistic technical definition and your numerical result in the context of this data. 4. In the Pew Research Center's 2003 "Physician-Assisted Suicide" study, 54% of 100 individuals surveyed were in favor of "making it legal for doctors to give terminally ill patients the means to end their lives". If 27 participants are selected at random from this sample, what is the probability that: a. Exactly 12 are in favor? b. Between 16 and 20, inclusive, are in favor? c. No more than 11 are in favor? d. At least 18 or less than 9 are in favor? Reference: https://www.pewresearch.org/politics/2003/07/24/iii-religion-belief-and-policy/ Page of 4