In a group of students, 40% took a music (m) subject, also 30% took statistic (s) subjects. In thissame group, the probability that they took a music or statistic subject is 0.65.a.) Draw a Venn diagram of the sample space for the subject of the students and write theprobability for each section accordingly.b.) Find the probability of (m n s). Illustrate this through a Venn diagram

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Answered: In a group of students, 40% took a…

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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3) Below is the distribution of 80 graduates with their degree type and average grade. Find the probability that a randomly selected graduate has a B.S. degree, given that the graduate has a B average. ((please check images for accuracy, thank you!!!))
When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinne
Don't Hand writing in solution.
Are Republicans more likely than Democrats to display the American flag in front of their residence on the Fourth of July? A simple random sample of 618 Republicans were surveyed and 408 said they display the flag on the Fourth of July. Another simple random sample of 615 Democrats were surveyed and 394 said they display the flag on the Fourth of July. Let p1p1 be the proportion of all Republicans who display the American flag on July 4th and p2p2 be the proportion of all Democrats who display the American flag on July 4th. What can be concluded at the αα = 0.10 level of significance? H0:H0: Select an answer μ p1-p2 μ1-μ2 μd p Select an answer ≠ < > = (please enter a decimal) H1:H1: Select an answer μ p1-p2 μd p μ1-μ2 Select an answer ≠ > = < (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
A stem-and-leaf plot for the number of touchdowns scored by all Division 1A football teams is shown below. Complete parts (a) through (c). a) If a team is selected at random, find the probability the team scored at least 30 touchdowns. b)if a steam is selected at random,find the probability the team scored between 40 and 48 touchdowns inclusive . c)if a team is selected at random,find the probability the team scored more than 78 touchdowns. are. Any of these events unusual? 1 3 4 5 7 8 8 Key:1|5equals=15 2 0 1 2 2 3 4 5 7 8 8 9 3 0 0 1 1 1 2 2 3 3 4 4 5 5 7 7 7 8 9 4 0 0 1 2 2 3 4 5 5 5 5 6 7 8 8 9 5 0 2 3 5 5 7 8 6 1 3 6 7 7 8 7
Below are the results of the final exam that a class took from the statistics course, in branch-leaf representation. For unclassified data given in the table a) Calculate the arithmetic mean, mode and median values. b) Find the quarter values of Q1 and Qa. c) Calculate the population variance and standard deviation values. d) Make the box drawing.
The Pew Research Center Estimates that as of January 2014, 89% of 18-29 year olds in the United states use social media networking sites. A.) For a sample size of 100, write about each of the conditions needed to use the sampling distribution of a proportion. B.) Calculate the probability that at least 91% of 100 randomly sampled 18-29 year olds use social media networking sites. Define, draw and label the distribution and give your answer in a complete sentence. C.) Calculate the probability that at least 91% of 500 randomly sampled 18-29 year olds use social networking sites. Define, draw and label the distribution and give your answer in a complete sentence.
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in Malate indicated that 40 survey taken guests preferred the following means of transportation: A at a hotel car bus plane train bus bus plane car plane plane car bus plane car car train train car car car car plane plane car bus car bus car plane car plane plane car car car bus train car bus car Construct a categorical distribution showing the frequencies corresponding to the different of means transportation. Interpret the results.
the grade-point averages of 20 college seniors selected at random from a graduating class are as follows:3.2, 1.9, 2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9. calculate the standard deviation.
assume that 100 births are randomly selected. Use subjective judgment to describe the given number of girls as (a) significantly low, (b) significantly high, or (c) neither significantly low nor significantly high. 53 girls
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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