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Unformatted text preview: Final review: Practice problems 1. A manufacturer of airplane parts knows from past experience that the probability is 0.8 that an order will be ready for shipment on time, and it is 0.72 that an order will be ready for shipment on time and will also be delivered on time. What is the probability that such an order will be delivered on time given that is was ready on time? 2. The completion of a construction job may be delayed because of a strike. The probabilities are 0.60 that there will be strike, 0.85 that the construction job will be completed on time if there is no strike, and 0.35 that the construction job will be completed on time if there is a strike. What is the probability that the job will be completed? A particular job was completed. What is the probability that there was some disruption due to a strike? 3. Among the 78 doctors on the staff of a hospital, 64 carry malpractice insurance, 36 are surgeons, and 34 are surgeons who carry malpractice insurance. If one of these doctors is chosen by lot to represent the hospital staff at an A.M.A. convention, what is the probability that the one chosen is not a surgeon and does not carry malpractice insurance? 4. The probability of surviving a certain transplant operation is 0.55. If a patient survives the operation, the probability that his or her body will reject the transplant within a month is 0.20. What is the probability of surviving both of these critical stages? 5. Medical records show that one out of 10 persons in a certain town has a thyroid deficiency. If 12 persons in this town are randomly chosen and tested, what is the probability that at least one of them will have a thyroid deficiency? 6. Let X be a random variable such that: p ( x ) = ( 5 cx, for x = 0 , 1 , 2 , 3 , 4 , 5 , otherwise (a) Is X discrete or continuous?...
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