Statistics

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?

  1. 👍
  2. 👎
  3. 👁
  1. 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

    1. 👍
    2. 👎
  2. 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

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. science

    Suppose that a biologist states that the average height of undergraduate students at your university is 205 cm plus or minus a standard deviation of 17 cm. What does this mean? Does it mean that the height of undergraduates at the

  2. Statistics

    Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.62 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have

  3. Probability

    A school survey found that 9 out of 10 students like pizza. If three students are chosen at random with replacement, what is the probability that all three students like pizza? Answer with 3 decimal places.

  4. Statistics

    A group of statistics students decided to conduct a survey at their university to find the average (mean) amount of time students spent studying per week. Assuming a standard deviation of 3 hours, what is the required sample size

  1. Business --- Kelley School in Indiana University

    How is the undergraduate program at Kelley School of Management in Indiana University? Does it have a very good reputation among business fields? Thank you for using the Jiskha Homework Help Forum. Here is their website:

  2. Math for Ms. Sue please last questions

    2. In a school of 464 students, 89 students are in the band, 215 students are on sports teams, and 31 students participate in both activities. How many students are involved in neither band nor sports? (1 point) 160 students 191

  3. MATH

    A researcher wants to select a sample of 50 students from four local private high schools by performing stratified sampling. The enrollments are shown in the table. How many students at each school should be included in the​

  4. statistics

    At a school consists of 62% undergraduate, 55% of the students are males, and 48% of the undergraduate students are male. a. Determine the probability that a randomly selected student is either male or an undergraduate b.

  1. statistics

    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

  2. math

    Mrs. Bollo's second grade class of thirty students conducted a pet ownership survey. Results of the survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and a dog. How many of the

  3. statistics

    In response to media inquiries and concerns expressed by groups opposed to violence, the president of a university with over 25,000 students has agreed to survey a simply random sample of her students to find out whether the

  4. statistics

    Suppose that on a certain examination in advanced mathematics, students from University A achieve scores which are normally distributed with a mean of 625 and a variance of 100, and that students from University B achieve scores

You can view more similar questions or ask a new question.