1. Questions

AP Stats

Surveys indicate that 5% of the students who took the SATs had enrolled in an SAT prep course. 30% of the SAT prep students were admitted to their first choice college, as were 20% of the other students. You overhear a high school student say he got into the college he wanted. What is the probability he didn't take an SAT prep course?

  1. 👍
  2. 👎
  3. 👁
Stephanie

  1. From the Statistics you have, you can see that taking a SAT prep course does not guarantee success. However, if you do not even enroll in a SAT prep course, there is little, if any, chance of success. Most college-bound students are wise to take the prep courses.

    Sra

    1. 👍
    2. 👎
    SraJMcGin

  2. I will get my book out but perhaps a stats teacher can help before I get at it.

    1. 👍
    2. 👎
    Damon

  4. make a "tree" of possiblilites

    start with two branches
    A) took SAT prep test
    B) did not take SAT prep test

    mark each with a prob of .5

    Split A) into two more braches
    C) got in to first choice college, prob .3
    D) did not get into first choice college, prob .7

    Split B) into two similar branches
    E) prob .2
    F) prob .8
    <<..You overhear a high school student say he got into the college he wanted. What is the probability he didn't take an SAT prep course..>
    Sounds like BE which would have a prob of
    (.5)(.2) = .1 or 10%

    1. 👍
    2. 👎
    Reiny

  5. I assume that the entire sample took the SAT
    Call total number of students t
    .05 t took prep
    .3*.05 t = .015 t = number who took prep and got in
    .95 t did not take prep
    .2*.95 t = .19 t = number who got in and did not take prep

    So 19%

    1. 👍
    2. 👎
    Damon

  6. notice my possible outcomes are
    AC - took the prep test and got in -- (.5)(.3) = .15
    AD - took the prep test, did not get in -- (.5)(.7) = .35
    BE - did not take prep test but still got in --- (.5)(.2) = .1
    BF - did not take prep test, did not get in --- (.5)(.8) = .4

    my 4 prob add up to 1, as they should

    1. 👍
    2. 👎
    Reiny

  8. It said 5% not 50%

    1. 👍
    2. 👎
    Damon

  9. Damon is right, (time to get new reading glasses at the dollar store)

    1. 👍
    2. 👎
    Reiny

  10. thanks for your help!!:)

    1. 👍
    2. 👎
    Stephanie

  12. the answer is 93% but i have no idea how to get there

    1. 👍
    2. 👎
    Sandy

  13. 93% is right, instead of making a tree with .5 for the first two branches. The branch for taking prep should be .05 since 5% of the people taking the SATs have taken a prep course, then the branch for people who haven't taken a prep course for the SATs should be .95

    1. 👍
    2. 👎
    Andy

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    In 2000, the number of students enrolled at Arlington Country Day School was 823 students. In 2010, the population was approximately 705 students. Find the percent of change in the enrolled students at Arlington Country Day school

  2. 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

  3. Lincoln College Of New En

    it has been found that 85.6% of all enrolled college and university students in the U.S. are undergraduates. A random sample of 500 enrolled college students in a particular state revealed that 420 of them were undergraduates. Is

  4. Statistics

    SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SAT score of first year students at your college. If you would like to limit the margin of error of your

  1. math

    Mrs. Gomes found that 40% of students at her high school take chemistry. She randomly surveys 12 students. What is the probability that at most 4 students have taken chemistry? Round the answer to the nearest thousandth. A)0.008

  2. math

    In a local school 34 students are enrolled in a math class, 85 are enrolled in an english class, 58 are enrolled in an art class, and 54 are enrolled in a history class. Construct a pie chart with this data. What is the central

  3. Math

    One day at ABC high school, 1/12 of the students were absent,and 1/5 of those present went on field trip.if the number of the students staying in school that day was 704,h0w many students are enrolled at ABC high?

  4. Math

    There was a surge in math club membership after the fun Halloween party. When the principal asked Mrs. Germain how many students were currently in the club, she replied, "Three times our number plus a third of our number plus a

  1. basic statistics for the behavioral sciences

    there are 80 students enrolled in statistics. (a)you and 11 other earned the same score. what percent of the class received your score? (b)forty percent of the class received a grade of C. how many students received a C? (c) only

  2. Math

    On a random day in the spring 88% of the students are present at school.If there are 528 students presents how many total students are enrolled?

  3. math

    At Murky Middle School, 372 students ride the bus to school. If this number is 60% of school enrollment, then how many students are enrolled at the school?

  4. Math please help

    There was a surge in math club membership after the fun Halloween party. When the principal asked Mrs. Germain how many students were currently in the club, she replied, "Three times our number plus a third of our number plus a

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