1. You and your friend are two of 10 students eligible to be selected to go to the BETAcompetition. Your school is going to select 2 students at random. What is the probabilitythat you and your friend will be selected?Note: You can use the online calculators to help you solve this problem.a. What is the total number of outcomes possible in the sample space?Show your work here:()= 10C210121(10-2)!= 101 =452!8!b. How many ways can you and your friend be chosen?c. What is the probability that you and your friend are chosen?P (you and friend) =

Answered: Image /qna-images/answer/4449da02-fec1-487a-938e-d6e0a06e17b5.jpg

Answered: 1. You and your friend are two of 10…

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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Employers want to know which days of the week employees are absent in a five-day workweek. Most employers would like to believe that employees are absent equally during the week. Suppose a random sample of managers were asked which day of the week they had the highest number of employee absences. The results were distributed as follows: The number of Absences on Monday was 17 The number of Absences on Tuesday was 17 The number of Absences on Wednesday was 4 The number of Absences on Thursday was 6 The number of Absences on Friday was 11 What is the Test Statistic to test the Hull Hypothesis that The absent days occur with equal frequencies (that is, they fit a uniform distribution) against the alternative Hypothesis that the absent days occur with unequal frequencies (that is, they do not fit a uniform distribution)?
Sleep researchers were trying to understand the impact of cell phone use before bedtime on the amount of time it took a person to fall asleep. Using a matched pairs design, they chose 8 subjects and recorded the amount of time it took the subject to fall asleep, both when using the cell phone up to attempting to sleep and stopping using the cell phone 2 hours prior to attempting to sleep, in random order. The amount of time for each person for each attempt is recorded in the table below. Person 1 2 3 4 5 6 7 8Until Attempt 22 17 45 15 35 19 36 18Two Hours Prior 18 18 40 8 23 15 32 12Difference a. Compute the difference for each observation.b. Based on the above data compute the mean and sample standard deviation of the difference.
Ecologists conducted a study to investigate the potential ecological impact of golf courses. Investigators monitored the reproductive success of bluebirds in birdhouses at nine golf courses and ten similar birdhouses at nongolf sites. Data on nests in birdhouses occupied only by bluebirds are shown in the table. If the proportions of nests occupied is the same for golf and nongolf sites, what would be the expected count of birdhouse with 1 nest in nongolf locations? O nests 1 nest Total 2 or 3 nests Golf 30 42 8 80 Nongolf 40 58 22 120 Total 70 100 30 200 50 b 42 60 d. 58 e 40 O O O O O
You intend to conduct an ANOVA with 31 subjects, which will be divided into 3 treatment groups. (Because it will be impossible to have equal sized groups, this is referred to as an "unbalanced" single-factor ANOVA.) What are the degrees of freedom for the numerator? d.f.(treatment) = What are the degrees of freedom for the denominator? d.f.(error) =
Homework 7.2 1. Four students are randomly selected from an algebra class and asked whether they suffer from math anxiety. Find the sample space for the possible outcomes of the survey using a tree diagram.
A researcher takes a sample of 50 individuals and administers a background check to identify the number of prior arrests for each person. For whatever reason, one person is removed from the analysis and another random person is selected to replace that person. Having no additional information, what is your best guess of the number of prior arrests experienced by the replacement person? Why?
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
A gray mouse has a 30% chance of stealing cheese from a mousetrap without getting caught, while a white mouse has a 10% chance of succeeding at that. If 15 gray mice and 17 white mice try to steal cheese from different traps, how many pieces of cheese would you expect them to get away with? (А) 1.7 (B) 7.65 (C) 3.2 (D) 6.4 (E) 4.5 (F) 9.6 (G) 12.8 (Н) 6.2
If there are 65 successes of 150 trials in the one group, and 115 successes of 200 in another, test if the groups significantly different? Use ? = 0.05.

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