# 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 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. a. = total female/grand total

b. = (total finance/grand total) + (total accounting/grand total)

When you want either-or probabilities, you need to add the individual probabilities.

e. This sounds like you want the male accounting majors out of the total males.

I hope this helps. Thanks for asking.

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. 👎

## 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. ### 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.

3. ### 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

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. ### 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

2. ### 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:

3. ### 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

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. ### Math

You want to find out what the favorite hot lunch in the school cafeteria is among the high school students. At an assembly for the whole school, you decide to survey all students who are sitting on the end of their rows in the

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. ### Math

Carol wanted to know about how much time students in her school spent surfing the Internet. So she asked 15 of her friends to complete a survey that she had prepared. Will the results of Carol’s survey represent the population

4. ### Math Survey

James wants to find out the favorite movie of students in his school. Which method would give James the BEST results? A) survey every student on the football team B) survey every student that walks to school C) survey only