Please show the necessary steps.

A) It is believed that 1.2% of a clinic's patients have TB. A particular blood test yieis a positive result for 99% of patients with TB, but also shows positive for 3% of patients who do not have TB. One patient is chosen at random from the clinic's patient list and is tested. a. What is the probability that if the test result is positive, the person actually has TB? b. What is the probability that if the test result is negative, the person has no TB? ) Let the random variable be given by the following probability distribution: P X=-1 =0.1, P X=0 =0.1, P X=2 =0.5, P X=7 =.15, P X=9 =.15 a. Find " and of X. b. Find p(X28), and p(u-o1.25). G) L If Z N(0, 1), find the following k a. P 0k =0.05.H) If X N(12,2.5), find X, in P x,