Our class is creating a new academic team, the Data Managers. The team will have 4 members to performdifferent tasks: collector, analyser, grapher, and recorder. 10 people in class want to be on the team, so we picka random team out of the 10.a. If exactly 4 boys volunteer, what is the probability that the team is all boys or no boys? Evaluate youranswer.b. What is the probability that Student 1 and Student 2 are on the team? Evaluate your answer.c. With two teacher coaches, the team of four takes a picture (6 people in picture). What is the probability thatthe teachers are together in the picture? Evaluate your answer.

Answered: Image /qna-images/answer/f7fdaae2-000b-445a-8d5f-5e006ab761e2.jpg

Our class is creating a new academic team, the Data Managers. The team will have 4 members to perform different tasks: collector, analyser, grapher, and recorder. 10 people in class want to be on the team, so we pick a random team out of the 10.

Our class is creating a new academic team, the Data Managers. The team will have 4 members to perform different tasks: collector, analyser, grapher, and recorder. 10 people in class want to be on the team, so we pick a random team out of the 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...

See similar textbooks

Related questions

Q: d) Shelly believes that more than half of the students at the university are in favour of the…

A: Hypothesis test are used to measure the significance between the sample and population. The z test…

Q: long it takes, on average, to complete a coronary artery bypass surgery. She samples 25 surgeries…

Q: Several years ago, two companies merged. One of the concerns after the merger was the increasing…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: As an economics class project, Debbie studied a random sample of 14 stocks. For each of these…

Q: A surgeon would like to know how long it takes, on average, to complete a coronary artery bypass…

Q: A certain county has a population of 43,110 people. The county hospital is interested in estimating…

A: Total number of sample n=217 Number of O-blood sample= 14 Popular size(N)= 43110 Now proportion of…

Q: 1. In an intro stats class, students were asked to work in teams of 2 to conduct a survey their…

A: Here we need to solve 1a, 1 b only

Q: A surgeon would like to know how long it takes, on average, to complete a coronary artery bypass…

A: From the provided information, Sample size (n) = 27 Population standard deviation (σ) = 1.1…

Q: You are the Provost of a University and you want to see if students would like to participate in…

A: Sex is best categorized as a nominal variable Weight is best categorized as a continuous variable,…

Q: In class, we compared healing times for females who received an experimental cold sore medicine. The…

A: (A) The mean healing time for the control group is obtained below as follows: From the…

Q: Construct two histograms showing the distribution of prices for homes without central air and the…

A: The objective of this question is to create two histograms that show the distribution of prices for…

Q: Of the 328 patients that completed the survey last year, 211 of them claimed to be returning…

A: Given: 328 patients completed the survey 211 patients returning

Q: Michelle's Mega Muffins recently sold 6 muffins, of which 3 were poppy seed muffins. Considering…

A: Given that, Michelle's Mega Muffins sold 6 muffins, of which 3 were poppy seed muffins. To find how…

Q: A surgeon would like to know how long it takes, on average, to complete a coronary artery bypass…

A: Given,sample size(n)=24population standard deviation(σ)=0.25

Q: ollier got 14.9; Sheryl Swoopes got 15.0; Tina Thompson gets 15.1; Jewell Loyd gets 15.2 points;…

A: We want to find the test statistics and interpret

Q: Four different paints are advertised as having the same drying time. To check the manufacturer's…

A: The data for drying time of four types of paints is given as:Paint 1Paint 2Paint 3Paint…

Q: One common system for computing a grade point average (GPA) assigns 4 points to an A, 3 points to…

Q: olds in the region, 500,000 purchase the shampoo category. Among this group, olds purchased All-over…

A: Given:Number of customers of All shampoo=226000 Total customers in shampoo category=500000 Hence,…

Q: Here we have data that represent the results of a study comparing different viewing distances for a…

A: Introduction The null hypothesis assumes that the average ratings given to the four viewing…

Q: A surgeon would like to know how long it takes, on average, to complete a coronary artery bypass…

Q: Several years ago, two companies merged. One of the concerns after the merger was the increasing…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Last week a gumball machine dispensed 10 white gumballs and 16 other gumballs. Considering this…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is…

Q: A surgeon would like to know how long it takes, on average, to complete a coronary artery bypass…

A: From the provided information, Population standard deviation (σ) = 0.84 Confidence level = 87%…

Q: One of the basketball coaches at Cypress College wanted to see if Cypress College's Strength &…

A: The given data is about the weights that a player can bench press before and after the strength and…

Q: At the Carnival game, there are three 1 dollar bills, one 5 dollar bill, and one 10 dollar bill in a…

A: Let data is Xi. So E(X)= (Summation Xi)/n Here sample size, n= 20

Q: Last summer, the Smith family drove through seven different states and visited various popular…

A: Data 2.34,2.75,2.48,3.58,2.87,2.53, 3.31 Range = maximum- minimum.

Q: The owners of an amusement park count the number of adults and children who attend the park on a…

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

Our class is creating a new academic team, the Data Managers. The team will have 4 members to perform
different tasks: collector, analyser, grapher, and recorder. 10 people in class want to be on the team, so we pick
a random team out of the 10.
a. If exactly 4 boys volunteer, what is the probability that the team is all boys or no boys? Evaluate your
answer.
b. What is the probability that Student 1 and Student 2 are on the team? Evaluate your answer.
c. With two teacher coaches, the team of four takes a picture (6 people in picture). What is the probability that
the teachers are together in the picture? Evaluate your answer.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Correlation, Regression, and Association$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

The local Ice Cream shop keeps a track of how much ice cream they sell vs. the temperature on that day. Here are their figures for the last 12 monthly: Month: Jan., Feb., Mar., Apr., May, Jun., Jul., Aug., Sep., Oct., Nov., Dec. Temperature in Ferenheit: 57.5, 61.5, 53.4, 59.3, 65.3, 71.7, 66.9, 77.1, 74.1, 64.5, 72.6, 62.9 Ice Cream Sales: 215, 325, 185, 332, 406, 522, 412, 614, 544, 421, 445, 408 How does the average monthly temperature affect the number of ice cream they sell vs the temperature on that day?
Several years ago, two companies merged. One of the concerns after the merger was the increasing burden of retirement expenditures. An effort was made to encourage employees to participate in the 401(k) accounts. Nationwide, 63% of eligible workers participated in these accounts. The accompanying data table contains responses of 30 employees of the company when asked if they were currently participating in a 401(k) account. Complete parts a through d. Click the icon to view the data table. a. Determine the sample proportion of company workers who participate in 401(k) accounts. The sample proportion is. (Round to three decimal places as needed.) b. Determine the sampling error if in reality the company workers have the same proportion of participants in 401(k) accounts as does the rest of the nation. The error is (Round to three decimal places as needed.) c. Determine the probability that a sample proportion at least as large as that obtained in the sample would be obtained if the…
The council leaders of a small town would like to determine the average number of people living in each household. To accomplish this, they send a questionnaire to each residence listed in the town address records, asking the head of the household to record the number of people living in the dwelling. They follow this up with visits to those households that have not responded to the questionnaire until the data collection process is complete. Which of the following is the best description of the method for data collection used by the council leaders? (A) A convenience sample (B) A simple random sample (C) A stratified random sample (D) A cluster random sample (E) A census
The whole data set will be in the two pictures
In 1940, 2,000 women working in a factory were recruited into a study. Half of the women worked in manufacturing and half in administrative offices. The incidence of bone cancer through 1970 among the 1,000 women working in manufacturing was compared with that of 1,000 women working in administrative offices. Thirty of the women in manufacturing developed bone cancer as compared to 9 of the women in administrative offices. Identify what type of study this is.
What percentage of data would you predict would be between 25 and 50 and what percentage would you predict would be more than 50 miles? Use the Week 4 spreadsheet again to find the percentage of the data set we expect to have values between 25 and 50 as well as for more than 50. Now determine the percentage of data points in the dataset that fall within each of these ranges, using same strategy as above for counting data points in the data set. How do each of these compare with your prediction and why is there a difference? Predicted percentage between 25 and 50: ________________________ Actual percentage: Predicted percentage more than 50 miles: Actual percentage: ___________________________________________ Comparison ____________________________________________________ Why? __________________________________________________________ Drive: 44 20 88 6 71 42 76 63 61 63 84 28 55 33 88 80 86 83 5 85 25 25 54 54 81 73 29 76 78…
A sports psychologist wants to compare the running time for athletes vs non-athletes while running 1 mile. He collects data from 226 non-athletes and 166 athletes and analyzes it using SPSS.
You want to determine how many loaves of Bread are sold per day at Schat’s Bakery. You stand outside for ten different randomly selected days, count the number of loaves, and then average them. You come up with 421 loaves per day. In reality, Schat’s keeps records of how many loaves they sell per day, and in they averaged 395 loaves per day. Describe what the population is in the above example?
I need to find the population of the study. I know the population of the study is the group as a whole being researched. My topic is: The average annual income of states and the average cost of a four-year college degree. What would the population of the study be? All of the states? I am just confused.
Here are the top 10 season hitting percentages for members of two baseõall teams, and you must determine which is the best-hitting team, defined as the average. You have to decide which type of average you use and why. Do this by hand or use SPSS.
Answer d
For a statistics class project, Jonathan and Crystal held an ice-cream-eating contest. They randomly selected 29 males and 35 females from their large high school to participate. Each student was given a small cup of ice cream and instructed to eat it as fast as possible. Jonathan and Crystal then recorded each contestant's gender and time (in seconds), as shown in the dotplots. : ● Male Female 15 75 90 105 30 45 60 Time to eat ice cream (sec) Do these data give convincing evidence of a difference in the population means at the a = 0.10 significance level? State appropriate hypotheses for performing a significance test. Be sure to define the parameters of interest. = Ho: M1 M2 = 0, Ha M₁ −μ₂ > 0, where μ₁ = the true mean time it takes male students to eat a small cup of ice cream and μ₂ = the true mean time it takes for female students to eat a small cup of ice cream. Ho: M1 - M₂ = 0, Ha M₁ M₂ < 0, where μ₁ = the true mean time it takes male students to eat a small cup of ice cream and…