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 _____
Say that COOP Ale Works, an Oklahoma brewery, uses three production lines to manufacture beer cans. The table below gives percentages of nonconforming cans, categorized by the type of nonconformity, for each of the three lines during a particular year. During this period, line 1 produced 500 nonconforming cans, line 2 produced 400 such cans, and line 3 was responsible for 600 nonconforming cans. Suppose that one of these 1500 cans was selected at random. Table attached in Image. a. What is the probability that the can was produced by line 1? b. What is the probability that the reason for nonconformance is a crack? c. If the selected can came from line 1, what is the probability that it had a blemish? d. Given that the selected can had a surface defect, what is the probability that it came from line 2?
8) In a class of 100 half the students are science majors and half are liberal art majors. A student who is a science major has a 0.9 probability of passing a given test whilst a student who is liberal art major has only a probability of 0.7. We pick 2 students at random without replacement and give them the test. What is the probability that both students pass the exam?
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.
There are four blood types, and not all are equally likely to be in blood banks. 49% of donations are type O blood, 27% of donations are type A blood, 20% of donations are type B blood, and 4% of donations are type AB blood. A person with type A blood can safely receive blood transfusions of type O and type A blood. What is the probability that if 3 donations are made, all 3 of them can be safely used in a blood transfusion on someone with type A blood?
Nico's Nuts buys a blend of peanuts and cashews from 2 vendors, with 61% coming from Brasstown farms and the rest from Rabun farms. The blend from Brasstown is 72% peanuts and 28% cashews, and the blend from Rabun is 56% peanuts and 44% cashews. All nuts are mixed by Nico's before packaging. A random nut is chosen from the mixture. a) Find the probability that the nut came from Brasstown, given that it is a peanut. b) Find the probability that the nut came from Rabun, given that it is a cashew. ..... a) The probability that the nut came from Brasstown, given that it is a peanut, is (Do not round until the final answer. Then round to four decimal places as needed.) b) The probability that the nut came from Rabun, given that it is a cashew, is (Do not round until the final answer. Then round to four decimal places as needed.)
There are four blood types, and not all are equally likely to be in blood banks. 49% of donations are type O blood, 27% of donations are type A blood, 20% of donations are type B blood, and 4% of donations are type AB blood. A person with type A blood can safely receive blood transfusions of type O and type A blood. What is the probability that if 3 donations are made, all 3 of them can be safely used in a blood transfusion on someone with type A blood? (0.27)3 = 0.0197 (0.49)3 = 0.1176 (0.27)3 + (0.49)3 = 0.1373 (0.27 + 0.49)3 = 0.4390
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?

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