N 3. The frequency distribution shown here illustrates the number of medical tests conducted on a randomly selected group of emergency room patients at a local hospital. Note: Give 4 decimal places for all probability answers. Number of Tests Performed Probability a. Explain why it is safe to assume the number of tests performed on a patient is disioint. 0 0.333 Disjointed b/ c a person cannot do 4 test.) 0.240 as well as 6 test, P 2 0.148 W 0.056 b. Selecting just one patient at random, find the 4 0.093 probability that the patient did not have exactly 4 tests performed. 5 0.130 P ( Did not have exactly 4 text performed) = 1 - P ( 4) = 1-0.093 0.0904 c. Selecting just one patient at random, find the probability that the patient had at least 1 test done. P( pthas at least 7 test ) 1- P (0) = 1-0.033 = (0.667 d. Explain why it is safe to assume in this context the number of tests performed from one patient to the next is independent. b/c each patient has diffrent health issues thus diffrent tests as well as amt of test needed e. Selecting 2 patients at random, find the probability that both patients had more than 3 tests done. f. Selecting 4 patients at random, find the probability that at least one of them had 2 tests done