Please show work

1_59 pm.pdf 2 /9 |- 100% + 1 3. Refer to the table which summarizes the results of testing for a certain disease. A test subject is randomly selected and tested for the disease. What is the probability the subject has the disease given that the test result is negative, Round to three decimal places as needed. Positive Test Negative Test Result Resuit Subject has the disease 87 9 Subject does not have the disease 27 312 O A. 0.972 O B. 0.221 O C. 0.028 O D. 0.094 4. A tennis player makes a successful first serve 51% of the time. If she serves 9 times, what is the probability that she gets exactly 3 successful first serves in? Assume that each serve is independent of the others. O A. 0.154 B. 0.00184 O C. 0.133 O D. 0.0635 5. An elevator has a placard stating that the maximum capacity is 2124 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 2124 / 12= 177 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 177 lb. (Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 25 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as needed.) Does this elevator appear to be safe? O A. Yes, 12 randomly selected adult male passengers will always be under the weight limit. O B. Yes, there is a good chance that 12 randomly selected people will not exceed the elevator capacity. O C. No. there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity O 83"F Sunny ~