Arkadaşlar Merhaba,
Ben bilgisayar mühendisliği öğrencisiyim. Olasılığa giriş ile ilgili bir kaç sorum var yapamadım. Yardımlarınızı Bekliyorum. Teşekkürler
2.31 A witness to a hit-and-run accident told the police that the license number contained the letters RLH followed by 3 digits, the first of which was a 5. If the witness cannot recall the last 2 digits, but is certain that all 3 digits are different, find the maximum number of automobile registrations that the police may have to check.
2.42 Three lottery tickets for first, second, and third prizes are drawn from a group of 40 tickets. Find the number of sample points in S for awarding the 3 prizes if each contestant holds only 1 ticket.
2.47 How many ways are there to select 3 candidates from 8 equally qualified recent graduates for openings in an accounting firm?
2.56 An automobile manufacturer is concerned about a possible recall of its best-selling four-door sedan. If there were a recall, there is a probability of 0.25 of a defect in the brake system, 0.18 of a defect in the trans- mission, 0.17 of a defect in the fuel system, and 0.40 of a defect in some other area.
(a) What is the probability that the defect is the brakes or the fueling system if the probability of defects in both systems simultaneously is 0.15?
(b) What is the probability that there are no defects in either the brakes or the fueling system?
2.69 It is common in many industrial areas to use a filling machine to fill boxes full of product. This occurs in the food industry as well as other areas in which the product is used in the home, for example, detergent. These machines are not perfect, and indeed they may A, fill to specification, B, underfill, and C, overfill. Generally, the practice of underfilling is that which one hopes to avoid. Let P(B)=0 .001 while P(A)=0 .990.
(a) Give P(C).
(b) What is the probability that the machine does not underfill?
(c) What is the probability that the machine either overfills or underfills?
2.85 The probability that a doctor correctly diagnoses a particular illness is 0.7. Given that the doctor makes an incorrect diagnosis, the probability that the patient files a lawsuit is 0.9. What is the probability that the doctor makes an incorrect diagnosis and the patient sues?
2.95 In a certain region of the country it is known from past experience that the probability of selecting an ***** over 40 years of age with cancer is 0.05. If the probability of a doctor correctly diagnosing a per- son with cancer as having the disease is 0.78 and the probability of incorrectly diagnosing a person without cancer as having the disease is 0.06, what is the probability that an adullt over 40 years of age is diagnosed as having cancer?
2.97 Referring to Exercise 2.95, what is the probability that a person diagnosed as having cancer actually has the disease?
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