ANSWER ALL THE QUESTSIONS AND GIVEDETAILED STEPS FOR THE SOLUTION,WHEREEVER IT IS NECESSARY.1. Three factories produce printers to supply the market.Factory A produces 25% of printers are produced in A,45% of the printers are produced by factory B and 35% infactory C. 3% of the printers produced in factory A aredefective, 2% of the printers produced in factory B aredefective and 4% of the printers produced in factory C aredefective. A printer is selected at random in the market andfound to be defective, what is the probability that this bulbwas produced by factory C?2. Find for the recurrence relation, if with the initialconditions .

Answered: 1. Three factories produce printers to…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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According to a theory in genetics, if tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short and colorless, with corresponding probabilities of 5/16, 4/16, 1/16,and 6/16. In a multinomial experiment, if 10 plants are selected, find the probability that 6 will be tall and colorful, 2 will be tall and colorless, 1 will be short and colorful, and 1will be short and colorless. the probability is _____
One-fourth of the female freshmen entering a Virginia College are out-of-state students. If the students are assigned at random to the dormitories, 3 to a room, what is the probability that in one room at most 2 of the 3 room mates are out-of-state students?
Factories A, B and C produce computers. Factory A produces 4 times as many computers as factory C, and factory B produces 6 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.013, the probability that a computer produced by factory B is defective is 0.049, and the probability that a computer produced by factory C is defective is 0.056. A computer is selected at random and it is found to be defective. What is the probability it came from factory A? Answer:
Assume there are 4 programmers A, B, C, and D in a software company that develops apps. They develop, respectively, 15, 20, 30, 35 percent of the total apps there. Of their developments, respectively, 8, 5, 4, and 2 percent of the apps have bugs. An app developed by the company is chosen randomly and is found to have bugs.(a) (1 point) What is the probability that the app was developed by A?(b) (1 point) What is the probability that the app was developed by B?(c) (1 point) What is the probability that the app was developed by C?(d) (1 point) What is the probability that the app was developed by D?
According to a theory in genetics, if tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short and colorless, with corresponding probabilities of 5/16, 4/16, 1/16, and 6/16. In a multinomial experiment, if 10 plants are selected, find the probability that 3 will be tall and colorful, 2 will be tall and colorless, 1 will be short and colorful, and 4 will be short and colorless.
A box contains 40 batteries, 5 of which have low lifetimes, 30 of which have average lifetimes, and 5 of which have high lifetimes. A consumer requires 8 batteries to run an appliance and randomly selects them all from the box. What is the probability that among the 8 batteries fitted into the consumer's appliance, there are exactly 2 low, 4 average and 2 high lifetimes batteries?
4. It is known that 75% of the mice inoculated with a serum are protected from a certain disease. If three mice are inoculated, what is the probability that at most two of the mice contract the disease?
A poll conducted on the proposed bonus plan for employees indicated that 40% of all female employees and 65% of all night-shift employees supported the plan. Also, 34% of all employees are women, 51% of all employees are night-shift workers, and 24% are day-shift females. If two employees are randomly selected, what is the probability that the first, a male is a night-shift worker and the second, a female is a day-shift worker? Answer:
1. Assume your computer network may have been hacked and computers may have 2 different types of viruses (virus type-A and virus type-B). The current situation shows that 15% of computers end up with type-A virus, 10% end up with type-B virus, and 10% of the computers infected with type-A or type-B virus have both viruses. 1.a) Compute the probability that a computer is infected with both viruses 1.b) Compute the probability that a computer has type-B virus given that it has type-A virus
At a factory that produces pistons for cars, Machine 1 produced 632 satisfactory pistons and 158 unsatisfactory pistons today. Machine 2 produced 528satisfactory pistons and 272 unsatisfactory pistons today. Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random from today's batch. What is the probability that the piston chosen from Machine 1 is unsatisfactory and the piston chosen from Machine 2 is satisfactory ? Do not round your answer.
Suppose that a factory has two machines, Machine A and Machine B, both producing jPhone touch screens. Forty percent of their touch screens come from Machine A and 60% of their touch screens come from Machine B. Ten percent of the touch screens produced by Machine A are defective and five percent of the touch screens from Machine B are defective. If I randomly choose a touch screen from those produced by both machines and find that it is defective, what is the probability that it came from machine A?
Suppose that 62% of the employees at a company are male and that 35% of the employees just received merit raises. If 20% of the employees are male and received a merit raise, what is the probability that a randomly chosen employee is male or received a merit raise?

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