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The British government has stepped up its information campaign regarding foot and mouth disease by mailing brochures to farmers around the country. It is estimated that 99% of Scottish farmers who receive the brochure possess enough information to deal with an outbreak of the disease, but only 90% of those without the brochure can deal with an outbreak. After the rst three months of mailing, 95% of the farmers in Scotland received the informative brochure. Compute the probability that a randomly selected farmer will have enough information to deal effectively with an outbreak of the disease. 2-111. In an automated lling operation, the probability of an incorrect ll when the process is operated at a low speed is 0.001. When the process is operated at a high speed, the probability of an incorrect ll is 0.01. Assume that 30% of the containers are lled when the process is operated at a high speed and the remainder are lled when the process is operated at a low speed. (a) What is the probability of an incorrectly lled container (b) If an incorrectly lled container is found, what is the probability that it was lled during the high-speed operation 2-112. An encryption-decryption system consists of three elements: encode, transmit, and decode. A faulty encode occurs in 0.5% of the messages processed, transmission errors occur in 1% of the messages, and a decode error occurs in 0.1% of the messages. Assume the errors are independent. (a) What is the probability of a completely defect-free message (b) What is the probability of a message that has either an encode or a decode error 2-113. It is known that two defective copies of a commercial software program were erroneously sent to a shipping lot that has now a total of 75 copies of the program. A sample of copies will be selected from the lot without replacement. (a) If three copies of the software are inspected, determine the probability that exactly one of the defective copies will be found. (b) If three copies of the software are inspected, determine the probability that both defective copies will be found.Barcode barcode library in .netgenerate, create bar code none in .net projects(c) If 73 copies are inspected, determine the probability that both copies will be found. Hint: Work with the copies that remain in the lot. 2-114. A robotic insertion tool contains 10 primary components. The probability that any component fails during the warranty period is 0.01. Assume that the components fail independently and that the tool fails if any component fails. What is the probability that the tool fails during the warranty period 2-115. An e-mail message can travel through one of two server routes. The probability of transmission error in each of the servers and the proportion of messages that travel each route are shown in the following table. 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