A teacher selects a student at random from his class of 20 students every week for20 consecutive weeks. There are 8 girls and 12 boys in the class. What is theprobability that there are exactly 10 weeks in which a girl is selected?1)2)2070 (2)8 (8) 122040 (-2) ¹² (8)8203) (-4) ¹0 (6) 10204) (10) (-4) ¹0 (6) ¹0

Answered: Image /qna-images/answer/93acad37-58af-4d8f-a1b4-da42b6c2f66c.jpg

Answered: A teacher selects a student at random…

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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Suppose you have four (4) boxes each of which contains six (6) balls: a red ball, a blue ball, a green ball, a purple ball, a yellow ball and a pink ball. If you draw a ball at random from each box what is the probability that: there are no balls of the same colour either the first ball or last ball or both are green the colour of the first ball is the same as the fourth ball AND the colour of the second ball is the same as the third ball e.g. red, green, green, red. For each of these questions explain your answer i.e., show your reasoning.
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?
21.
An insurance agent sells the policies to 20 persons having same age and in good health. Based on the company's record, the probability that person in this age will live for the next 20 years is 2/3. Find the probability (a) 8 persons, (b) at most 7 persons, (c) more than 7 persons, (d) at least 3 persons, (e) more than 6 persons but less than 11 persons are still alive at the end of this 20 years period. The probability for a mango tree from a certain type, will produce fruits in the first year is 0.8. Each time, the mango trees seller sells about 5 trees to the buyer with the guarantee that if less than 3 trees produce fruits in the first year, he will replace them according to the number of trees which do not produce fruits. (a) Calculate the probability that there will no replacement. (b) If he sells the trees to 3000 buyers that are 5 trees to each buyer, how many trees are expected to be replaced?
3
3. Among the products of the first company, defective is 10%, the second - 20%, the third - 25%. We bought 6 products from the first company, 8 from the second and 4 from the third. For verification, one product was tested. Find the probability that it is valid.
Suppose that, on average, the number of car accidents in US are 6 per day (which has 24 hours). i. Determine the probability that at least 4 accidents will occur in 12 hour period. ii. In a two days, if there were 8 car accidents in US, what is the probability that 2 accidents have occurred in the first 12 hours of the two days?

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