Probability of working employees

1. Store A, B, and C have 50, 75, and 100 employees, respectively. At store A 50% of the employees are women, at store B 60 % of the employees are women, and at store C 70% of the employees are women. Resignations are equally likely for all employees, regardless of gender. One employee resigns, and this employee is a woman. What is the probability that the woman worked at store C? at store B? at store A?

2. Two balls are chosen randomly and, therefore without replacement from an urn containing 8 white, 4 black and 2 orange balls.
a. List the possible outcomes, where outcomes indicate the colors 0f the two balls chosen. You may do this by indicating the color of the first ball chosen and the color of the second ball chosen, or you may just indicate the colors observed (in some order)
b. Assign probabilities to the outcomes you have included in your sample space in (a)
c. Suppose that we win $2 for each black ball selected and lose $1 for each white ball selected. Let Y denote our winnings of one play of this game. What are the possible values for Y and the associated probabilities for each of these values, i.e., what is the probability distribution for Y?

3. In a league championship series, games are played until one team has won 2 games, called a best 2 of 3 series. Suppose Team A wins each game with probability 0.6, Team B with probability 0.4. Suppose also that the outcomes of successive games are independent of one another. Determine
a. the outcomes that are possible
b. b. the probability that Team A wins the series
c. c. the probability that the series requires 2 games? 3 games?

4. In a league championship series, games are played until one team has won 2 games, called a best 2 of 3 series. Suppose Team A wins the first game with probability 0.6, and wins successive games with probability 0.8 if it won the previous game, with probability 0.5 if the lost the previous game.
a. How likely is it that Team A wins the second game of the series?
b. How likely is it that Team A wins the series?
c. How likely is it that the series lasts 2 games? 3 games? 4 games?

5. A box contains 6 marbles, two red, two green and two blue. Consider an experiment that consists of taking one marble from the box, then replacing it in the box and drawing a second marble from the box.
a. List the points in the sample space and assign probabilities to the points.
b. If Y is the random variable that indicates the number of different colors of marbles observed in the sample, find the probability mass function for Y

6. In the situation posed in Problem #5, suppose the second draw is made without replacing the first drawn marble
a. How do the sample points and/or probabilities assigned to them change?
b. What is the probability distribution for Y, defined as in Problem #5?
c. Thus, does it matter whether sampling is done with replacement or without replacement in this situation?

Please show all steps with answers. Thanks.

Calculate the price
Make an order in advance and get the best price
Pages (550 words)
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Upload your instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with TheBestPaperWriters
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
See why 20k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
English 101
Very good job. I actually got an A
Customer 452443, September 25th, 2022
The paper was EXCELLENT. Thank you
Customer 452449, September 23rd, 2022
Architecture, Building and Planning
The assignment was well written and the paper was delivered on time. I really enjoyed your services.
Customer 452441, September 23rd, 2022
excellent loved the services
Customer 452443, September 23rd, 2022
Excellent services will definitely come back
Customer 452441, September 23rd, 2022
Job well done and completed in a timely fashioned!
Customer 452451, November 18th, 2022
Public Administration
Excellent timely work
Customer 452451, April 19th, 2023
Business Studies
Thank you!
Customer 452451, November 27th, 2022
Thanks a lot the paper was excellent
Customer 452453, October 26th, 2022
Business Studies
Excellent service - thank you!
Customer 452469, February 20th, 2023
Business Studies
Job well done. Finish paper faster than expected. Thank you!
Customer 452451, October 3rd, 2022
Customer reviews in total
Current satisfaction rate
3 pages
Average paper length
Customers referred by a friend
15% OFF your first order
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat