Probability of the complementary event A of A is given by P(Ā) = 1 − P(A)
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- Shoulder InjuriesAmong a large group of patients recovering from shoulder injuries, it is found that 22 visit both a physical therapist and a chiropractor, whereas 12 visit neither of these. The probability that a patient visits a chiropractor exceeds by 0.14 the probability that a patient visits a physical therapist. Determine the probability that a randomly chosen member of this group visits a physical therapist. Choose one of the following. Hint: Use the union rule for probability, and let x=P(patientvisitsaphyiscaltherapist). Source: Society of Actuaries. a. 0.26 b. 0.38 c. 0.40 d. 0.48 e. 0.62Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.Studying A teacher has found that the probability that a student studies for a test is 0.60, the probability that a student gets a good grade on a test is 0.70, and the probability that both occur is 0.52. a. Are these events independent? b. Given that a student studies, find the probability that the student gets a good grade. c. Given that a student gets a good grade, find the probability that the student studied.
- (a) An experiment has two outcomes, "success" and "failure„" where the probability of success" is p. The experiment is performed n times. What of probability is with this experiment? (b) What is the probability that success occurs exactly r times? (c) An archer has probability 0.6 Of hitting the target. find the probability that she hits the target exactly 3 times in 5 attempts-Conditional probability If 40 of the population have completed college, and 85 of college graduates are registered to vote, what percent of the population are both college graduates and registered voters?