3. A group of 20 people consisting of 6 women and 14 men will give a tea invitation. For thepreparations, they choose among them as follows:3 people to set the table, 2 people to boil water, 6 people to prepare treats Each person willdo only 1 task and the remaining people will not help.a) In how many different ways can the people who will do these jobs be chosen?b) Suppose women don't like tea. In this case, if only 10 people out of 20 will begiven tea, find the probability that they are men.c) If only 10 people out of 20 are given tea, find the probability that 9 of them aremale and 1 is female.

Answered: Image /qna-images/answer/0ba04b8a-aead-4c29-8d78-b0e6f061d58e.jpg

Answered: 3. A group of 20 people consisting of 6…

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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A large research project is looking for more researchers. There are 8 spots open on the research team. There are 10 mathematicians and 14 computer scientists that apply for the team. a. How many different ways can a team of 8 be made for the project? b. How many different ways can a team of 8 be made for the project if the team must contain at least one computer scientist and at least one mathematician.
A class of 40 students is to choose a set of classroom officers composed of the President, Vice-President, Secretary, and Treasurer. In how many ways can the classroom officers be chosen?
If there are four (4) students namely: Sonia, Yumi, Rin, and Eggy. How many different seating arrangements in a bench can be made considering all the students at a time, if Sonia must always be first and Eggy can never be last?
The president of the college asked a fraternity to submit a list of 7 students to serve as guides at a school function. They have 19 students who are Available to help. In how many ways can the students be chosen?
2.) The BOS-14 is the new model of cars manufactured by NUC Motors. This model can be achieved in 2 body styles, 4 interior options and 7 different colors. The model can be achieved in automatic transmission as a manual. ER Auto wants to have a model of each of the options available to sell. How many BOS-14 models should you order?
7. A family consisting of 3 children and 10 adults have reserved a row of seats at a theater. The 3 children need to sit in the middle with 5 adults on either side. How many ways can the family seat themselves?
6-18. Earl hates to take out the garbage and to wash the dishes, so he decided to make a deal with his parents: He will flip a coin once for each chore and will perform the chore if the coin lands on heads. What he doesn't know is that his parents are going to use a weighted coin that lands on heads 80% of the time! slimizs a. What is the probability that Earl will have to do both chores? What is the probability that Earl will have to take out the garbage, but will not need to wash the dishes? b.
For the RV X with distribution below, find the distribution of the RV Y with the function: Y = 3X - 2 fx(x) = 1/ 0≤x≤2 else
5. From a group of 13 people, 5 will be chosen and they will be placed in order for a photo. How many layouts are possible?
There are 22 members of a basketball team. (1) The coach must select 8 players to travel to an away game. How many ways are there to select the players who will travel? (2) From the 8 players who will travel, the coach must select her starting line-up. She will select a player for each of the five positions: center, right forward, left forward, right guard, left guard. How many ways are there for her to select the starting line-up? (3) From the 8 players who will travel, the coach must select her starting line-up. She will select a player for each of the five positions: center, right forward, left forward, right guard, left guard. However, there are only 3 of the 8 players who can play center. Otherwise, there are no restrictions. How many ways are there for her to select the starting line-up?

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