O PROBABILITYComputing conditional probability using a two-way frequency...At a school's open house, T-shirts and sweatshirts were sold.Each item was purchased by either a student or a parent.The two-way frequency table summarizes a random sample of 50 items sold that night.T-shirtSweatshirtStudent812Let T-shirt be the event that an item randomly chosen from among those sold was a T-shirt.Let student be the event that item randomly chosen from among those sold was purchased by a student.Find the following probabilities. Write your answers as decimals.(If necessary, consult a list of formulas.)(a) P(student) =(b) P(T-shirt and student) =(c) P(T-shirt | student) =XParent1911

Given Student Parent Total T-shirt 8 19 27 Sweatshirt 12 11 23 Total 20 30 50

Answered: At a school's open house, T-shirts and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The following table shows the results of a survey of 200 authors by a publishing company. New Authors Established Authors Total Successful 12 56 68 Unsuccessful 32 100 132 Total 44 156 200 Compute the relative frequency of the given event if an author as specified is chosen at random. A successful author is established.
The following table shows the results of a survey of 200 authors by a publishing company. Established Authors Total 68 132 Total 200 Compute the relative frequency of the given event if an author as specified is chosen at random. An author is a new author. New Authors Successful Unsuccessful 20 30 50 48 102 150
Organ Donors USA Today provided information about a survey of 5100 adult Internet users. Of the respondents, 2346 said they are willing to donate organs after death. In this survey conducted for Donate Life America, 100 adults were surveyed in each state and the District of Columbia, and results were weighted to account for the different state population sizes. a. What percentage of respondents said that they are willing to donate organs after death? b. Based on the poll results, what is the probability of randomly selecting an adult who is willing to donate organs after death? c. What term is used to describe the sampling method of randomly selecting 100 adults from each state and the District of Columbia?
The following table shows the results of a survey of 200 authors by a publishing company. New Authors Established Authors Total Successful 14 54 68 Unsuccessful 30 102 132 Total 44 156 200 Compute the relative frequency of the given event if an author as specified is chosen at random. An author is a new author.
The following table shows the results of a survey of 500 authors by a publishing company. Established Authors New Authors Total 160 340 Total 500 Compute the relative frequency of the given event if an author as specified is chosen at random. A successful author is established. Successful Unsuccessful 35 70 105 125 270 395
The following table shows the results of a survey of 200 authors by a publishing company. New Authors Established Authors Total 66 134 Total 200 Compute the relative frequency of the given event if an author as specified is chosen at random. An author is a new author. Successful Unsuccessful 12 28 40 54 106 160
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In the table below, the distribution of employees in a business according to their gender and whether they are university graduates is given. QI Gender College graduate Not college graduate Total Male Female 7 20 27 4 9. 13 Total 11 29 40 If one of the employees is randomly selected for the worker management council, what is the probability that the chosen one is a woman and a University (College) graduate? Solve this problem using the Venn diagram. a.Solve the problem using a tree diagram (flowchart). b. Construct the second solution with Venn diagram. c. Similarly, when the events "Male (M) and “Not graduated from university (N) are also taken into account, calculate the following probabilities using the table. P(Mn G), P(Mn N), P(F ON). (Note: For solution (F) for female, for university graduate(G) "Female (F) and "University graduate(G), not university graduate (N), Male (M) events will be recognized, and using other symbols will not be considered valid for the solution.

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