Probability

posted by .

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 university is male and majors in math?

b) What is the probability that a randomly selected student in the university is female or majors in math or both?

Based upon the information you provided, out of every 100 students you have this breakdown:
male, math major: 18
female, math major: 12
male, non-math major: 52
female, non-math major: 18

therefore:
a) 18%
b) female: 30%
math major (either sex): 30%
female math major: 12%

so for b), you just add them up to get 72%?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Probabilities

    1.) two marbles are drawn without replacement from a bowl containing seven red, four blue, and nine yellow marbles. what is the probability that at least one is red?
  2. Probabilities

    1.) two marbles are drawn without replacement from a bowl containing seven red, four blue, and nine yellow marbles. what is the probability that at least one is red?
  3. 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?
  4. statistics

    The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29. Find the probability that the mean GPA of a random sample of 20 students selected …
  5. 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 which …
  6. Statistics

    The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past few years. It is estimated that approximately 90% of students now own a cell phone and 10% do not own a …
  7. math

    A room contains 80 sophomores of which 39 are males and 41 are females. There are also 69 juniors of which 36 are males and 33 are females. You pick 3 students at random. What is the probability that all 3 are males?
  8. Math

    In Exercises 16–18, use the following information. At a college, 43% of the students are women, 15% of the students are art majors, 4% have not chosen a major, and 8% are women and art majors. A faculty member conducts an experiment …
  9. Math

    In Exercises 16–18, use the following information. At a college, 43% of the students are women, 15% of the students are art majors, 4% have not chosen a major, and 8% are women and art majors. A faculty member conducts an experiment …
  10. probality

    Blue Nile University recently conducted a survey of undergraduate students in order to gather information about the usage of the library. The population for this study included all 4000 undergraduate students enrolled in the university. …

More Similar Questions