2. A committee of 5 people is to be formed randomly from a group of 10 women and 6 men. Find the probability that thecommittee hasa) 3 women and 2 men.b) 4 women and 1 men.c) 5 women.d) at least 3 women.

Answered: Image /qna-images/answer/dfda4e61-8f87-4038-ae0a-52901dd72707.jpg

Answered: 2. A committee of 5 people is to be…

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

Similar questions

2. There are 230 birds in a zoo. 90 birds are male with brown eyes and 70 birds are female with brown eyes. 30 of the birds are male with blue eyes and 40 birds are female with blue eyes. Construct a contingency table (ex. Lecture 1, slide 16). If a bird is selected at random: a) What is the probability that the bird is a female? b) A male with brown eyes? c) A female given that it has brown eyes? d) A male given that it has blue eyes? e) A creature with blue eyes given that it's a female?
Q1) Find the number of ways to arrange 5 seniors and 4 juniors in a row of 9 seats if all the seniors must sit together. Q2) Six books are selected randomly from a cabinet containing 4 history books, 7 science books and 3 geography books. What is the probability of getting 4 science books and 2 history books?
b) A team consists of 5 members to be formed from 10 students and 5 lecturers. Find the probability that the team will consist of: i) ii) 2 students and 3 lecturers. At least 3 students.
87. A committee of 5 persons is to be selected from a group of 5 men and 10 women. Find the probability that the committee consists of 2 men and 3 women.
Assume that 15% of people are left-handed. If 7 people are selected at random, find the probability of each outcome described below. a) Find the probability that the first lefty is the sixth person chosen. (Round to four decimal places as needed.) b) Find the probability that there are some lefties among the 7 people. (Round to four decimal places as needed.) c) Find the probability that the first lefty is the third or fourth person. (Round to four decimal places as needed.) d) Find the probability that there are exactly 3 lefties in the group. (Round to four decimal places as needed.) e) Find the probability that there are at least 5 lefties in the group. (Round to four decimal places as needed.) f) Find the probability that there are no more than 2 lefties in the group. (Round to four decimal places as needed.)
A local county has an unemployment rate of 6%. A random sample of 16 employable people are picked at random from the county and are asked if they are employed. Round answers to 4 decimal places. a) Find the probability that exactly 4 in the sample are unemployed. b) Find the probability that there are fewer than 3 in the sample are unemployed. c) Find the probability that there are more than 2 in the sample are unemployed. d) Find the probability that there are at most 3 in the sample are unemployed.
Find the answer a) How many 3-member committess can be selected from a group of 15? b) How many ways can 3 members be selected as president, vice-president, and secretary from a group of 15? Hint: order matters. c) A pool of candidates for two positions consists of three women and three men. If each candidate has an equal chance of being selected, what is the probability that both positions are filled by women?
Solve
A college surveys the 1258 alumni from 2019 and 2020. Of the 679 alumni from 2019, 127 went on to graduate school. Of the 579 alumni from 2020, 196 went on to graduate school. Find the probability that an alumnus selected at random from 2019 and 2020 is as described. a) a 2019 alumnus? b) a 2020 alumnus? c) a 2019 alumnus who did not attend graduate school?
Twelve identical flags, except for color, are lined up along one side of a road. Three are red, 4 are blue and 5 yellow. Find the probability that the a) 3 red flags are side by side. b) 4 blue flags are side by side. c) 5 yellow flags are side by side
A bag of M&M's has 3 red, 2 green, 7 blue, and 8 yellow M&M's. What is the probability of randomly picking:(give an answer as a reduced fraction)1) a yellow? 2) a blue or green? 3) an orange?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

2. A committee of 5 people is to be formed randomly from a group of 10 women and 6 men. Find the probability that t committee has a) 3 women and 2 men. b) 4 women and 1 men. c) 5 women. d) at least 3 women.