Question

There are 200 graduate students at a California State University; of whom 110 are female (F)...

There are 200 graduate students at a California State University; of whom 110 are female (F) and 125 are international students (I). 70 are female and international students. 1) List the probability distribution table. 2) Are the variables “gender of students” and “origin of students” independent? Show your work. 3) What is the probability that the student is international given male? 4) What is the probability that the student is international or female? 5) We select at random two different students. What is the probability that the first student and the second student are both international?

Homework Answers

Answer #1
female male total
international 70 55 125
domestic 40 35 75
total 110 90 200

1) dividing each value in table by 200 ; below is probability distribution table

female male total
international 0.35 0.275 0.625
domestic 0.2 0.175 0.375
total 0.55 0.45 1

2)

here as P(female and international)=0.35 ; while P(female)*P(international)=0.55*0.625=0.34375

as they both are not equal' therefeore they are nt independent

3)

probability that the student is international given male =0.275/0.45=0.6111

4)

probability that the student is international or female =0.35+0.2+0.275 =0.825

5)

probability that the first student and the second student are both international=(125/200)*(124/199)

=0.3894

Know the answer?
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
Similar Questions
Of students at a particular university: 20% are freshmen 22% are sophomores 23% are juniors 28%...
Of students at a particular university: 20% are freshmen 22% are sophomores 23% are juniors 28% are seniors 7% are graduate students. Additionally, 60% of students are female. You may assume that being female is independent of the above classifications. If we select students, one at a time, stopping once a female student is selected, what is the probability we will select 2 or fewer students?
4. At a college, 60 percent of the students are female and 35 percent of the...
4. At a college, 60 percent of the students are female and 35 percent of the students receive a grade of C. About 40 percent of the students are female and “not C” students. Use this contingency table. Gender\Grade C Not C or C bar Female (F) 0.40 0.60 Male (M) 0.35 If a randomly selected student is a “not C” student, what is the probability the student  is a male student? 5. A and B are independent events. Moreover, P(A)...
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...
At a Midwestern University, the 450 students in the Business School were classified according to their...
At a Midwestern University, the 450 students in the Business School were classified according to their major within the business school and their gender. The results are: Female Male Total Accounting 68 56 124 Administration 91 40 131 Economics 5 6 11 Finance 61 59 120 Other 39 25 64 Total 264 186 450 (a) A student is selected at random. Find the following probabilities; leave your answers in fractional form. (i) What is the probability that the selected student...
In a given university, number of credits completed by a BS graduate is a normal distribution....
In a given university, number of credits completed by a BS graduate is a normal distribution. The average credits was 128.8, with a standard deviation of 3.2. A.What is the chance that a randomly selected BS degree graduate completed over 133 credits? What proportion of graduates will finish between 125 and 134 credits? Among graduates, what is the lowest number of credits which is among top 1.5% of students with earned credits? Kelly is graduating this semester, a student once...
he mean age of graduate students at a University is thought to be 31 years old....
he mean age of graduate students at a University is thought to be 31 years old. A random sample of 15 graduate students is taken. The sample mean age is 33 years and the sample standard deviation is three years. Does the sample data indicate that the population mean age is actually greater than 31 years old? Use a 1% level of significance. a.) What is α? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or...
The registrar of the university with the population of N = 4,000 full-time students is asked...
The registrar of the university with the population of N = 4,000 full-time students is asked by the president to conduct a survey satisfaction with quality of life on campus. The following table contains a breakdown of 4,000 registered full-time students by gender and class designation: Class Designation Gender Fr. Soph. Jr. Sr. Total Female 700 520 500 480 2200 Male 560 460 400 380 1800 Total 1,260 980 900 860 4000                                                        The registrar intends to take a probability...
An article in the San Jose Mercury News stated that students in the California state university...
An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 43 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2. Do the data support your claim at the 1% level? Note: If you are using a Student's t-distribution for the problem, you may...
California University encourages professors to consider using e-textbooks instead of the traditional paper textbooks. Many courses...
California University encourages professors to consider using e-textbooks instead of the traditional paper textbooks. Many courses have adopted the new e-textbook option. Suppose that the random variable X represents the number of courses taken by a student during the Winter 20 semester at California University that provide an e-textbook option. The (partial) probability distribution for the random variable X is provided. X = # course with e-text option 0 1 2 3 4 5 Probability _____ _____ 0.30 0.25 0.15...
The Office of Student Services at a large western state university maintains information on the study...
The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 15 hours. The hours studied follows the normal distribution with a standard deviation of 15 hours. Suppose we select a random sample of 100 current students. What is the probability that the mean of this sample is less than 14 hours?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • Explain the various methods of intelligence collection, specifically human intelligence and signals intelligence.
    asked 1 minute ago
  • The provided file has syntax and/or logical errors. Determine the problem and fix the program. using...
    asked 5 minutes ago
  • What new items will you need to replace a failing processor? Select all that apply.   ...
    asked 23 minutes ago
  • A system is to be developed for an airport. When passengers have boarded an aircraft, a...
    asked 31 minutes ago
  • After reading Module 5 PowerPoint 1 - The Philosophy of Human Existance and Health Care Policy,...
    asked 40 minutes ago
  • 1. Do you feel play has a place in supporting literacy development in early childhood? Explain...
    asked 43 minutes ago
  • How should roles be selected for the Emergency Operations Center (EOC)?  Is seniority less important than experience?...
    asked 56 minutes ago
  • Discuss routing issues and solutions namely, count-to-infinity, split horizon, split horizon with poison reverse, and hold-down...
    asked 56 minutes ago
  • Find an optimal parenthesization of a matrix-chain product whose sequence of dimensions is〈5,10,3,12,5,50,6〉.
    asked 1 hour ago
  • Water at 60 F (density=62.4lbm/ft^3 and dynamic viscosity = 7.5x10^-4 lbm/ft-s) is to be pumped through...
    asked 1 hour ago
  • ibuprofen an aspirin substitute has the following percent composition C, 75.69%; H,8.80%; O,15.51%. determine the empirical...
    asked 1 hour ago
  • Describe in brief some of the aspects of understanding words in the study of language
    asked 1 hour ago