Question

A recent survey of a school showed that of all students registered for a computer program...

A recent survey of a school showed that of all students registered for a computer program in grade 11th, 54% of students also registered for a math course, 38% also registered for a physics course and 20% registered both. What is probability that the grade 11th students also registered for math course or a physics a) course? b) What is probability that the grade 11th students did not also register either a math or a physics course? Is a grade 11th student registering a math course in addition to physics course mutually exclusive?
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Total students = a+b+c+u = 100% = 1

Students registering a maths course = a+c = 0.54

Students registering a physics course = b+c = 0.38

Students registering for both maths and physics = c = 0.2

a = 0.54-0.2 = 0.34

b = 0.38-0.2 = 0.18

u = 1-0.34-0.18-0.2 = 0.28

a) Probability students registered for maths or physics course = a+b+c = 0.34+0.18+0.2 = 0.72 = 72%

b) Probability that the grade 11th students did not also register either a math or a physics course: u = 0.28 = 28%

c) For mutually exclusive events:

P ( A ∪ B) = P (A) + P ( B )

P(Physics and Maths) = c = 0.2

P(Physics) = 0.38

P(Maths) = 0.54

P(Physics and Maths) ≠ P(Physics) + P(Maths)

So, student registering a math course in addition to physics course are not mutually exclusive.

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
Professor Jackson is in charge of a program to prepare people for a high school equivalency...
Professor Jackson is in charge of a program to prepare people for a high school equivalency exam. Records show that 80% of the students need work in math, 70% need work in English, and 55% need work in both areas. a) Are the events “needs math” and “needs English” mutually exclusive? Explain b) Compute the probability that a student selected at random needs math or needs English.
in a recent survey of high school students it was found that the average amount of...
in a recent survey of high school students it was found that the average amount of money spent on entertainment each week was normally distributed with a mean of $52.30 and a standard deviation of$18.23. Assuming these values are represented of all high school students, what is the probability that for a sample of 25, the average amount sent by each student exceeds $60? a)0.3372 b)0.1628 c)0.4826 d)0.0174
In a survey, 150 high school students were asked whether they play sports. The survey also...
In a survey, 150 high school students were asked whether they play sports. The survey also recorded the grade of each of the participants. The responses are given below: Yes No Freshman 19 22 Sophomore 23 17 Junior 18 12 Senior 20 19 Use this table to determine each of the following probabilities. Write each answer as a percent rounded to one decimal place, i.e. 16.8%. Do not include the percent symbol. a) Find the probability that a randomly selected...
A recent survey of local cell phone retailers showed that of all cell phones sold last...
A recent survey of local cell phone retailers showed that of all cell phones sold last month, 75% had a camera, 50% had a music player and 30% had both. What is the probability that a cell phone sold last month had a camera or a music player? Show your work. (10pts) What is the probability that a cell phone sold last month did not have either a camera or a music player? Show your work. (10pts)
Question 3 Part A In a survey to examine the effect of computer literacy on internet...
Question 3 Part A In a survey to examine the effect of computer literacy on internet usage in an organization the data were recorded for each of the 113 responses. Required: For each of the responses, state whether it’s qualitative data or quantitative data. If it's qualitative, also state whether it's nominal or ordinal data. If it's quantitative, also state whether it's discrete or continuous data. You must give reasons for each answer. Educational level( high school, diploma, bachelor degree,...
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...
Q) Over the past few years the percentage of students who leave Lakeland College at the...
Q) Over the past few years the percentage of students who leave Lakeland College at the end of the first year has increased. Last year Lakeland started a voluntary one-week orientation program to help first-year students adjust to campus life. If Lakeland is able to show that the orientation program has a positive effect on retention, they will consider making the program a requirement for all first-year students. Lakeland’s administration also suspects that students with lower GPAs have a higher...
Item 1 In the case below, the original source material is given along with a sample...
Item 1 In the case below, the original source material is given along with a sample of student work. Determine the type of plagiarism by clicking the appropriate radio button. Original Source Material Student Version Major changes within organizations are usually initiated by those who are in power. Such decision-makers sponsor the change and then appoint someone else - perhaps the director of training - to be responsible for implementing and managing change. Whether the appointed change agent is in...
Item 1 In the case below, the original source material is given along with a sample...
Item 1 In the case below, the original source material is given along with a sample of student work. Determine the type of plagiarism by clicking the appropriate radio button. Original Source Material Student Version There is a desperate need for theorists and researchers to generate and refine a new breed of learning-focused instructional design theoriesthat help educators and trainers to meet those needs, (i.e., that focus on learning and that foster development of initiative, teamwork, thinking skills, and diversity)....
MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme...
MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme values in the data set is the a. range b. median c. mode d. mean 2. If two events are independent, then a. they must be mutually exclusive b. the sum of their probabilities must be equal to one c. their intersection must be zero d. None of these alternatives is correct. any value between 0 to 1 3. Two events, A and B,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT