Question

Physicians and pharmacists sometimes fail to inform patients adequately about the proper application of prescription drugs and about the precautions to take in order to avoid potential side effects. One method of increasing patients' awareness of the problem is for physicians to provide patient medication instruction (PMI) sheets. A local medical survey, however, has found that only 41 %of the doctors who prescribe drugs frequently distribute PMI sheets to their patients. Assume that41 % of all patients receive the PMI sheet with their prescriptions and that18% receive the PMI sheet and are hospitalized because of a drug-related problem. What is the probability that a person will be hospitalized for a drug-related problem given that the person received the PMI sheet?

The probability is___________(Round to three decimal places as needed.)

Answer 1

Solution:- The probability that a person will be hospitalised for a drug-related problem given that the person received the PMI sheet is 0.439.

P(PMI) = 0.41

P(PMI and hospitalised) = 0.18

$P(\frac{Hospitalised}{PMI}) = \frac{P(Hospitalised.and.PMI)}{P(PMI)}$

$P(\frac{Hospitalised}{PMI}) = \frac{0.18}{0.41}$

$P(\frac{Hospitalised}{PMI}) = 0.4390$