Question

3. Four students are to be selected for the leadership group of a club that currently has 20 students. Of the 20 students in the dub, there are 9 CS majors, 5 English majors, 3 Socialogy majors, 2 Math majors, and 1 Data Science major. (a) How many different groups of 4 students are possi ble, assuming order does not matter (and majors do not matter)? (b) If each group is equally likely to be picked, what is the probability that the Data Science major will be in the selected group? (c) What is the probability that at least one English Major will be in the group? (d) If order did matter (say because the first person picked be the President of the club, the 2nd person will be the VP, et cetera), how many different groups of four students can be made??

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
3. Four students are to be selected for the leadership group of a club that currently...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 3. Four students are to be selected for the leadership group of a club that currently...

    3. Four students are to be selected for the leadership group of a club that currently has 20 students. Of the 20 students in the club, there are 9 CS majors, 5 English majors, 3 Sociology majors, 2 Math majors, and 1 Data Science major (a) How many different groups of 4 students are possible, assuming order does not matter (and majors do not matter)? (b) If each group is equally likely to be picked, what is the probability that...

  • 6. A group of 10 students is in a club. There are 4 leadership positions in...

    6. A group of 10 students is in a club. There are 4 leadership positions in the club (President, Vice President, Secretary, Treasurer). In how many ways can those 4 different leadership positions be filled by those 10 students? (You can use a calculator probability command, but show what you are doing on your calculator.)

  • In your weekly family card game, you are playing a game where you are dealt four...

    In your weekly family card game, you are playing a game where you are dealt four cards to start the game. How many different hands could you have? You are part of the math club. Every fall there are elections for the three officer positions: President, Vice President, and Human Calculator. Because math is the best, there are 5,000 students in the club. You can only run for one position and there are 100 students running for President, 150 running...

  • 9. A study group is to be selected from a group of 16 students. The group consists of 5 freshmen, 7 sophomores, and 4 juniors.    a) In how many ways can a group of 6 students be selected from this gr...

    9. A study group is to be selected from a group of 16 students. The group consists of 5 freshmen, 7 sophomores, and 4 juniors.    a) In how many ways can a group of 6 students be selected from this group?    b) If the study group is to consist of 2 freshmen, 3 sophomores, and 1 junior, how many different groups are possible?    c) What is the probability that a group of 6 students will consist of 2 freshmen, 3...

  • 1. A school club consists of 28 male students and 15 female students. If 3 students...

    1. A school club consists of 28 male students and 15 female students. If 3 students are selected to represent the club in the student government, what is the probability 1 will be male and 2 will be female? Group of answer choices 0.238 0.333 0.205 0.070 2. A lottery offers one $1000 prize, one $500 prize, and seven $50 prizes. One thousand tickets are sold at $2.50 each. Find the expectation if a person buys one ticket. Group of...

  • A class has 32 students. In how many different ways can four students form a group...

    A class has 32 students. In how many different ways can four students form a group for an activity? (Assume the order of the students is not important.) There are different ways that the four students can form a group for an activity. (Type a whole number.)

  • 3. Two different events can occur called A and B. The probability that A occurs is...

    3. Two different events can occur called A and B. The probability that A occurs is 0.90, the probability that B is 0.70, while the probability that both occur is 0.65. Are the two events independent? What is the probability that either of the events occurs? If B occurs, what is the probability that A will occur? Sixty four athletes are to compete for an Olympic event. How many distinct ways can the three medals, gold, silver, and bronze be...

  • please do 37 and 39 b. please do and show work. 37) A recent study finds...

    please do 37 and 39 b. please do and show work. 37) A recent study finds that 34% of adult American males are obese. Bas ed on this study, what is the probability that a) all 3 are obese b) at least one is obese when 3 adult Am erican m ales are chosen random ly? 38) How many different social security numbers with the last four digits 1234 are possible? 39) A random sam ple of 300 Mt. SAC...

  • Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women...

    Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women at a popular breakfast place are shown below, Frequencies of Breakfasts for Men and Women French Toast Pancakes Waffles Omelets Men 54 79 Women 109 120 What can be concluded at the a = 0.01 significance level? a What is the correct statistical test to use? Homogeneity Independence Paired t-test Goodness-of-Fit b. What are the null and alternative hypotheses? Ho: The distribution of breakfast...

  • A survey asked students of different age groups whether or not they had applied to more...

    A survey asked students of different age groups whether or not they had applied to more than one school. After gathering the data, the following joint probability table was produced. Applied to More Than One School Yes No Total Age Group 23 and under 0.1025 0.0996 0.2021 24–26 0.1493 0.1872 0.3365 27–30 0.0911 0.1319 0.2230 31–35 0.0343 0.0946 0.1289 36 and over 0.0269 0.0826 0.1095 Total 0.4041 0.5959 1.0000 (a) Given that a person applied to more than one school,...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT