1. Questions

Math

In a survey of 300 college graduates, 58% reported that they entered a profession closely related to their college major. If 6 of those survey subjects are randomly selected without replacement for a follow-up survey, what is the probability that 3 of them entered a profession closely related to their college major?

  1. 👍
  2. 👎
  3. 👁
Hannah

  1. If we select 6 out of 300 subjects, we can assume that the probability remains approximately constant, thus use of the binomial distribution is applicable, where
    n=6
    p=0.58
    bin(6,0.58, 3)
    =C(6,3)*0.58^3*0.42^3
    =0.2891 approximately

    To be more precise, we calculate the probability as:
    #ways of choosing 3 out of 174 students who entered a related profession
    = C(174,3)
    #ways of choosing 3 out of 126 students who entered an unrelated profession
    = C(126,3)
    #ways of choosing 6 students out of 300
    =C(300,6)
    So
    probability of choosing 3+3 students
    = C(174,3)*C(126*3)/C(300,6)
    = 0.2917

    1. 👍
    2. 👎
    MathMate

  2. equation of a line

    (-3,5) (-2,-6)

    can you help with this exercise

    1. 👍
    2. 👎
    selena

Respond to this Question

First Name

Your Response

Similar Questions

  1. Social studies

    1. Which of these people is part of the labor force a.an eighth grader with a paper route b. a retired sales person c. a full time college student d.an auto mechanic•• 2. Which is the best example of frictional unemployment? A

  2. statistics

    The Economic Policy Institute periodically issues reports on wages of entry level workers. The Institute reported that entry level wages for male college graduates were $21.68 per hour and for female college graduates were $18.80

  3. Statistics

    1. Find the indicated probability. In a survey of 300 college graduates, 63% reported that they entered a profession closely related to their college major. If 9 of those survey subjects are randomly selected without replacement

  4. Math

    If 3/4 of the employees in a supermarket are not college graduates,what is the ratio of the number of college graduates to those who are not college graduates? I have solved ,please check it. Let x total employees (3/4)× not

  1. Statistics

    How do you find the p-value??? Thanks! In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College.

  2. Probability and Statistics

    The proportion of adults living in a small town who are college graduates is estimated to be p = 0.6. To test this hypothesis, a random sample of 15 adults is selected. If the number of college graduates in the sample is anywhere

  3. Stats

    The Economic Policy Institute periodically issues reports on worker’s wages. The institute reported that mean wages for male college graduates were $37.39 per hour and for female college graduates were $27.83 per hour in 2017.

  4. Math/Statistics

    The mean starting salary for graduates in the spring of 2004 was $36,280. Assume that the distribution of starting salaries follows the normal distribution with a standard deviation of $3,300. What percent of the graduates have

  1. Statistics

    Suppose a 95% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$36,080, $43,920]. The population standard deviation used for the analysis is known to be $12,000. a. What is the

  2. English

    Arthropoda Chelicerata Merostomata (horseshoe crabs) Arachnida (spiders, mites, scorpions) Pycnogonida (sea spiders) Crustacea Copepoda (small crustaceans) Cirripedia (barnacles) Malacostraca (crabs, lobsters, shrimp) Uniramia

  3. math

    Before they graduate from Great Lakes High School, all 12th-grade students fill out a survey about their future college plans. Are you attending an in-state college after high school graduation? Will you begin college during the

  4. statistics

    A headline in a certain newspaper states that "most stay at first job less than 2 years." That headline is based on an online poll of 320 college graduates. Among those polled, 72% stayed at their first full-time job less than 2

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