Question

Use combinations to answer the following problem. You are selecting a group of 4 students from...

Use combinations to answer the following problem. You are selecting a group of 4 students from a class of 90 students, 65 are female and 25 are male.

A) How many possible combinations of 4 students could be created from these 90 students?

B) What is the chance that all 4 students selected will be female.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution: A) How many possible combinations of 4 students could be created from these 90 students?

Answer: We have to use the combination formula here:

The combination formula is:

Where:

is the total students

is the number of students selected

Therefore, we have:

  

Therefore, there are 2555190 possible combinations of 4 students that could be created from these 90 students.

B) What is the chance that all 4 students selected will be female.

Answer: We are given that there are 65 females. The number of ways 4 females can be selected out of 65 females is:

  

Therefore, the chance that all 4 students selected will be female is:

rounded to 4 decimal places

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
From a class of students from UK and overseas as shown. You are told - choosing...
From a class of students from UK and overseas as shown. You are told - choosing students at random - that picking a UK student and picking a Male student are independent events. How many students are in the class altogether? UK Overseas Male 24 15 Female 16 ? Possible answers: 65, 60, 62, 66, 68, 72 or 70. or None of these
We have 18 students: 3 seniors, 5 juniors, 4 sophomores, and 6 freshmen in a class....
We have 18 students: 3 seniors, 5 juniors, 4 sophomores, and 6 freshmen in a class. We want to form a student organization to represent the students. The student organization is composed of 8 students. We want to select 8 random students (ignoring their class rank for now). How many possible combination is there to form an organization? Incorrect. Tries 1/2 Previous Tries If we choose 8 students randomly, there is a problem because we could have, for example, 3...
A history class is comprised of 4 female and 7 male students. If the instructor of...
A history class is comprised of 4 female and 7 male students. If the instructor of the class randomly chooses 5 students from the class for an oral exam, what is the probability that 3 female students and 2 male students will be selected? Round your answer to 3 decimal places.
Problem corrected, please show all work! In a small college of 1800 of the 6000 students...
Problem corrected, please show all work! In a small college of 1800 of the 6000 students are Female. Additionally, 1200 of the 4500 students under the age of 25 are Female. Answer the following questions: (a) What is the probability of the student body is either Male or under the age of 25? (b) What is the probability that a randomly selected student is Under 25, given that the student is Male?, (c) What is the probability that the randomly...
Giving a test to a group of students, the grades and gender are summarized below A...
Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 4 9 17 30 Female 6 13 2 21 Total 10 22 19 51 Let p represent the population proportion of all female students who received a grade of B on this test. Use a 90% confidence interval to estimate p to four decimal places if possible. < p <
Suppose you can construct a sample that includes 4 second grade students in different elementary schools....
Suppose you can construct a sample that includes 4 second grade students in different elementary schools. Data have been collected on each students’ name, gender, class size( total number of students in the class) and final math scores. With data available, calculate all estimators of your model step by step. Note: You need to show how you calculate with details. ( CALCULATE MANUALLY, NOT WITH A SOFTWARE) ID   Name Gender.   Class size.   Math scores 1   Andy. Female. 23   80 2...
Students in a chemistry class convince their teacher to use the following "group grading" scenario. Students...
Students in a chemistry class convince their teacher to use the following "group grading" scenario. Students will all take the exam on their own; however, the grade they receive will be the mean of their test score with 4 other randomly selected classmates. Assume that the test scores for this particular exam are normally distributed with a mean of 74 and a standard deviation of 12 points. You need an 80 or better on this exam. What is the probability...
Use the Basic Counting Law, Permutations, or Combinations to answer the following: 1. there are 12...
Use the Basic Counting Law, Permutations, or Combinations to answer the following: 1. there are 12 members on the board of directors for the Newport general hospital. a.) if they must elect a chairperson, first vice chairperson, second vice chairperson, and secretary, how many different slates of candidates are possible? b.) if they must form an ethics committee of four members, how many different subcommittees are possible?
A survey of undergraduate students in the School of Business at Northern University revealed the following...
A survey of undergraduate students in the School of Business at Northern University revealed the following regarding the gender and majors of the students: Major Gender Accounting Marketing Finance Total Male 80 130 60 270 Female 80 60 40 180 Total 160 190 100 450 a. What is the probability of selecting a female student? (Round the final answer to 2 decimal places.) Probability b. What is the probability of selecting a finance or an accounting major? (Round the final...
The executive of an organization is to be selected from a group of 6 males and...
The executive of an organization is to be selected from a group of 6 males and 7 females. 1. How many ways are there to choose the president and secretary? 2. How many ways are there to have a female president and a male secretary? 3. What is the probability that a randomly chosen president is female and a randomly chosen secretary is male? 4.  How many ways are there to choose a president, secretary and treasurer? 5. How many ways...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT