Statistics

posted by .

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 Management Finance Total
Male 100 150 50 300
Female 100 50 50 200
Total 200 200 100 500


a. What is the probability of selecting a female student?
b. What is the probability of selecting a finance or accounting major?
e. What is the probability of selecting an accounting major, given that the person selected
is a male?

  • Statistics -

    There are a total of 1000 students. The number of women is 400.
    a. 400/1000 = 0.400
    b. (200+100)/1000 = 300/1000= 0.300
    There are 600 males,so
    c. 100/600 = 1/6 = 0.167

  • Statistics -

    a. What is the probability of selecting a female student? P(female accounting) + P (female Maj Mgmt) + P (Finance) = 0.2 + 0.1 + 0.1 = 0.4
    b. What is the probability of selecting a Finance or Accounting major? P (Finance Male or Female) + P (Accounting Male or Female) = 0.2 + 0.4 = 0.6
    c. What is the probability of selecting a female or an accounting major? Which rule of addition did you apply? General rule of addition, when events are NOT mutually exclusive. P(female) + P (accounting major) – P(female and accounting major) = 0.4 + 0.4 – 0.2 = 0.6.
    d. Are gender and major independent? Why? No. Events are independent if the occurrence of one event does not affect the occurrence of another event (Lind, Chapter 5). The occurrence of gender in one major impacts gender is another major, given that the total number of students and gender ratio is fixed. For independent events P(A/B) = P(A), which is not the case here with gender/major.
    e. What is the probability of selecting an accounting major, given that the person selected is a male? P(accounting | male) = P(Accounting and Male) / P(Male) = 100/500 x 500/300 = 100/300 = 0.33
    f. Suppose two students are selected randomly to attend a lunch with the president of the university. What is the probability that both of those selected are accounting majors? P(A and B) = P(A) P(B)
    Probability of first accounting student being selected for lunch = 200/500 = 0.4
    Probability of second accounting student being selected for lunch = 199/499 = 0.399
    Probability of first and second student being accounting = 0.4 x 0.399 = 0.1596

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Probability

    At a certain university, 30% of the students major in math. Of the students majoring in math, 60% are males. Of all the students at the university, 70% are males. a) What is the probability that a student selected at random in the …
  2. Statistics

    In the following cross tab or contingency table the favorite sport of 50 university students is cross classified with the gender of the respondent, What is the probability of 1 - P(female or basebal) and 2 - (football/male) gender-baseball-basketball-football-tot …
  3. Math

    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 Management Finance Total Male 100 150 50 300 Female …
  4. statistics

    In this summer school class there are 28 male students and 15 female students. An experiment is done that consists of selecting a student at random, and recording their gender. This is done 4 times WITH REPLACEMENT. 1) Fill in the …
  5. statistics

    A class roster includes 24 males students and 15 female students who are IT majors. If 4 students from the group are selected to represent IT majors at a University meeting, what is the probability 2 will be male and 2 will be female?
  6. business statistics

    1.21 Three professors at Northern Kentucky University compared two different approaches to teaching courses in the school of business (M. W. Ford, D. W. Kent, and S. Devoto, “Learning from the Pros: Influence of Web-Based Expert …
  7. business

    1.21 Three professors at Northern Kentucky University compared two different approaches to teaching courses in the school of business (M. W. Ford, D. W. Kent, and S. Devoto, “Learning from the Pros: Influence of Web-Based Expert …
  8. business

    1.21 Three professors at Northern Kentucky University compared two different approaches to teaching courses in the school of business (M. W. Ford, D. W. Kent, and S. Devoto, “Learning from the Pros: Influence of Web-Based Expert …
  9. Logic

    This is the information about students participating in a field trip: 36 were female students, 13 were male seniors, 41 were not drama majors, exactly half of the drama majors were male, a third of the female students were drama majors …
  10. statistics

    a math class has 50 students , of these 22 students are math majors and 18 students are male. Of the math majors 16 are female. Find the probability that a randomly selected student is male or a math major . my answer 22/50 and 18/50 …

More Similar Questions