The following table shows the results of a survey of authors by a (fictitious) publishing company. HINT [See Example 5.]SuccessfulUnsuccessfulTotalNewAuthors51722EstablishedAuthorsFind the number of elements it contains.authors235578Total2872100Consider the following events: S: an author is successful; U: an author is unsuccessful; N: an author is new; and E: an author is established.Describe the event U U E' in words.This is the event that an author is either successful or not established.This is the event that an author is either successful or established.This is the event that an author is unsuccessful and established.This is the event that an author is either unsuccessful or not established.This is the event that an author is unsuccessful and not established.

Given is a table that shows the results of a survey of authors by a (fictitious) publishing company.…

Answered: The following table shows the results…

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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Provide your answers as decimals. P(RB)=
The biology department plans to recruit a new faculty member. Data collected by a different university on the 410 possible candidates are available. The biology department is debating whether to put a requirement of 10 years of teaching experience in the job advertisement. The available data on the candidates are shown below. Less than 10 years' 10 or more years' experience experience Total Male 178 112 290 Female 99 21 120 Total 277 133 410 True or False. The events F= {candidate is female} and E = {candidate has less than 10 years' experience} independent. True False
115 Students from 3 sections have been asked if they'd rather watch a movie on a Streaming platform or in a movie theater. Results are tallied below. Section 101 Section 105 Section 107 Total Streaming platform 17 20 23 60 movie theater 21 15 9 45 Total 38 35 32 105 If we choose a student at random, are the events "the student is in Section 101" and "the student prefers streaming platform classes" independent or dependent events? Group of answer choices independent dependent it is impossible to tell from the information given
One student is selected at random. Let's define the following events:A = event the student selected is under 21,B = event the student selected is over 30,C = event the student selected is in his or her 20s, andD = event the student selected is over 18.1. Determine the following events.a. E=(not D) b. F=(A & D) c. G= (A or D) d. H= (B or C) Please help me with the below 1) Using the data in the table, calculate the probabilities of these events: A,B,C,D,E,F,G and H. 2. We consider tossing a coin four times:a. How many outcomes this experiment has? b. Draw the tree diagram
A poll of 120 city residents found that 30 had visited the new museum, and that 80 had been to the new park. If it appeared that going to the park and going to the museum were independent events, how many of those polled had been to both? Park O 20 O 15 Museum Yes No Total Hint: P(went to park and went to museum) divided by total people surveyed O 10 Yes ?? No 80 40 Total 30 90 120 OIt cannot be determined.
pleaseeeee solve question 3, quickly please
d. Are events A and C mutually exclusive? - Select your answer - e. What is Bº? (i) {E1, E3, E5, E6} (ii) {E2, E4, E5, E7} (iii) {E3, E4, E5, Es} (iv) {E₁, E4, E6} (v) {E2, E4, E7} (vi) {0} - Select your answer - What is P(B)? If necessary round your answer to two deicmal places.
Please answer the question and explain fully.
4. 60% of homeowners in Northern Virginia have a weekly lawn service. Those homes with a lawn service, 55% have a sprinkler system. For those without a lawn service, 30% have a sprinkler system. (Note: you do NOT need to simplify these answers. However, you MUST express each in terms of the events/probability notation – e.g., P(A|B) =..) a. Draw a tree diagram to model the problem b. What is the probability that a randomly selected home has a sprinkler system? c. What is the probability that a randomly selected home with a sprinkler system has a lawn service? d. What is the probability that a randomly selected home with a lawn service has a sprinkler system? e. What is the probability that a randomly selected home has a lawn service? f. What is the probability that a randomly selected home that does not have a lawn service has a sprinkler system?
Example 11 An unbiased die is thrown twice. Let the event A be 'odd number on the first throw' and B the event 'odd number on the second throw'. Check the independence of the events A and B.

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