Norman’s fourth largest cracker factory employs 20 workers on the day shift, 15 works on the swing shift, and 10 workers on the graveyard shift. You’re a quality control consultant, and you want to select six of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of six workers has the same chance of being selected as does any other group (that is, drawing six slips without replacement from among the 45). a. How many selections result in all six workers coming from the day shift? What is the probability that all six selected workers will be from the day shift? b. What is the probability that all six selected workers will be from the same shift? c. What is the probability that at least two different shifts will be represented among the selected workers? d. What is the probability that at least one of the shifts will be unrepresented in the sample of workers

Norman’s fourth largest cracker factory employs 20 workers on the day shift, 15 works on the swing shift, and 10 workers on the graveyard shift. You’re a quality control consultant, and you want to select six of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of six workers has the same chance of being selected as does any other group (that is, drawing six slips without replacement from among the 45). a. How many selections result in all six workers coming from the day shift? What is the probability that all six selected workers will be from the day shift? b. What is the probability that all six selected workers will be from the same shift? c. What is the probability that at least two different shifts will be represented among the selected workers? d. What is the probability that at least one of the shifts will be unrepresented in the sample of workers

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: A manufacturing company has 5 vice presidents: Andrew, Beth, Charles, Diane, and Eric. Their…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: The city of Raleigh has 6600 registered voters. There are two candidates for city council in an…

A: From the provided information, Population size = 6600 Sample size (n) = 350 156 said they'd vote for…

Q: A website sells used golf clubs. For a sample of 50 golf clubs to feature the following information…

A: a): categorical data is a type of data that can be stored into groups or categories with the aid of…

Q: 3. An advertising firm wanting to target people with strong desires for success conducted a study to…

A: Please note that as per our guidelines if multiple questions are posted we can answer the first…

Q: 5. Consider a competition with 12 competitors. Suppose that finally one of them would be awarded a…

Q: A researcher wants to know how registered voters in her state feel about health care. She obtains a…

A: Given, Researcher wants to know how registered voters in her state feel about health care. She…

Q: As quality control manager at a raisin manufacturing and packaging plant, you want to ensure that…

A: From the provided information, Sample size (n) = 36 Sample mean (x̄) = 29.3 Standard deviation (s) =…

Q: 1) You have a sample of 9 flowers from pea plants. (a) Suppose 7 of them are white, and 2 of them…

A: From the given information,Number of flowers in a pea plant = 9

Q: 3. There are 5 players on the Rockets 3-on-3 basketball team. a. From these 5 players how many 3…

A: Please find the explanation below. Here we are using the basics of permutations and combinations to…

Q: What is your favorite color? A large survey of countries, including the United States, China,…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: Tryouts are being conducted for a baseball team. a. in how many ways can a coaching staff of 5 be…

A: a. There is total 15 applicants.

Q: Thirty-five percent (35%) of the population in a small community outside of Brownsville, Texas are…

Q: A county clerk wants to improve voter registration. He wants to send out reminders in the mail to…

Q: From a survey participated by 42 students, the following were found: 9 studied on Friday; 18 studied…

Q: depart n the main floor, and those who work in management. Strep throat has been going around and a…

A: Solution The given table represent the contingency table between variables.

Question

100%

5. Norman’s fourth largest cracker factory employs 20 workers on the day shift, 15 works on the
swing shift, and 10 workers on the graveyard shift. You’re a quality control consultant, and you
want to select six of these workers for in-depth interviews. Suppose the selection is made in
such a way that any particular group of six workers has the same chance of being selected as
does any other group (that is, drawing six slips without replacement from among the 45).
a. How many selections result in all six workers coming from the day shift? What is the
probability that all six selected workers will be from the day shift?
b. What is the probability that all six selected workers will be from the same shift?
c. What is the probability that at least two different shifts will be represented among the
selected workers?
d. What is the probability that at least one of the shifts will be unrepresented in the
sample of workers?

Video Video

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A quality control consultant is to select 5 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 5 workers has the same chance of being selected as does any other group (drawing 5 slips without replacement from among 24).a. How many selections result in all 5 workers coming from the day shift? What is the probability that all 5 selected workers will be from the day shift?b. What is the probability that all 5 selected workers will be from the same shift?c. What is the probability that at least two different shifts will be represented among the selected workers?d. What is the probability that at least one of the shifts will be unrepresented in the sample of workers?
2. The Department of Fish and Wildlife looked at the ages of individuals between 65 and 81 that frequented the Bolsa Chica Reserve during the week of June 13th, 2021, to help determine if more facilities and resources are necessary to support the needs of that age group. They determined there were 40 individual visitors that fit those criteria, with the following ages: 65, 66, 66, 67, 67, 67, 68, 68, 68, 68, 69, 69, 69, 69, 69, 69, 70, 70, 70, 70, 70, 71, 71, 71, 71, 72, 72, 72, 73, 73, 73, 74, 74, 75, 75, 76, 77, 78, 79, and 80. Age (years) Number of Visitors 65 1 66 2 67 3 68 4 69 6 70 5 71 4 72 3 73 3 74 2 75 2 76 1 77 1 78 1 79 1 80 1 81+ 0 What would you say is the best measure of central tendency for the weekly visitor distribution? How should the Department of Fish and Wildlife report it? Justify your response.
5. Solve the following problem using a Venn diagram: Consider the following data among 110 students in the college dormitory: 30 students are on a list A (taking Accounting); 35 students are on a list B (taking Biology); and 20 students are on both lists. Find the number of students on list A or B*
A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 31 said they drove alone. 32 rode in a carpool. 28 rode public transportation. 4 used both carpools and public transportation. 5 used both a carpool and sometimes their own cars. 3 used buses as well as their own cars. 1 used all three methods. How many used none of the above-mentioned means of transportation?students
A survey of 150 freshmen business students at a local university produced the results listed below. How many students took only religion? 35 took history;42 took science;43 took religion;19 took history but not science;14 took science and religion;15 took history and religion;6 took all three
A Statistics instructor wishes to know the average age (in month) of his 200 students. He decides to choose 25 students from the class and ask them for their age. All 200 names are put in a hat and 25 names are then chosen at random (without replacement). The average age of the students chosen is observed to be 231 months. The group of 25 students is known as what?
The school district sets up two locations to help students with technical difficulties over the summer. They believe the technicians they have assigned to location 2 are being lazy and not helping students as much as they should be so they take a random sample of 15 students from each of the two locations and ask if their technical issue had been resolved (over 200 students had asked for assistance at each location). Twelve of the 15 students from location 1 reported their technical issue had been resolved and 8 of the 15 students from location 2 reported their technical issue had been resolved. Is this convincing evidence that the technicians from location 2 are being lazy and not helping students as much as those from location 1?
A sample of 274 adults is selected. The adults are classified according to voter registration status ("registered" or "not registered"). They are also classified according to preferred source of current events information ("television", "newspapers", "radio", or "internet sites"). The results are given in the contingency table below. Registered X Not registered Television 30 35 Newspapers Radio 42 37 What is the relative frequency of adults in the sample who are not registered to vote? Round your answer to two decimal places. 0 37 33 Internet sites 16 44