8 A random survey was taken to gather information about grade level and car ownership status of students at a school. This table shows the results of the survey. | | Owns a Car | Does Not Own a Car | Total | | :--- | :---: | :---: | :---: | | Juniors | 8 | 15 | 23 | | Seniors | 14 | 7 | 21 | | Total | 22 | 22 | 44 | Find the probability that a randomly selected student will be a junior, given that the student owns a car. (A) 8/31 (B) 1/11 (C) 15/22 (D) 4/11
Added by Martin C.
Close
Step 1
We need to find the probability that a student is a junior given that the student owns a car. This is a conditional probability problem. Show more…
Show all steps
Your feedback will help us improve your experience
Matthew Elliott and 59 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Questions 5-6. Three randomly chosen fourteen-year-old junior high students who had not yet taken driver's education classes were given the written part of the Michigan Driver's Exam. Each student was graded as passing or failing the written exam. Assume each student has the same chance to pass and to fail the exam. 5. The probability no student fails equals: A. 3/8 B. 1/2 C. 1/4 D. 1/8 6. The probability at most one student passes the written test equals: A. 3/8 B. 1/2 C. 7/8 D. 3/4
Joanna Q.
Question 1) A survey at a local college asked a random sample of faculty and a random sample of students the color of the car that they would like to drive. The results are given in the table. (3 points) Faculty Students Silver 40 10 Black 20 147 Red 35 86 Other 25 17 (a) If a person is chosen at random from all those surveyed, what is the probability that they would like a black car? (b) If the person chosen at random is a faculty member, what is the probability that they would prefer a black car? Show your work? c) Based on your answers in part (a) and part (b), is car color choice independent of college role (faculty, student) for those in this sample?
Sanchit J.
A number of students at a large university were asked if they owned a car and if they lived in a dorm or off campus. The table shows the results. a. What is the probability that a student selected at random lives in a dorm? b. What is the probability that a student selected at random does not own a car? $$\begin{array}{|l|c|c|}\hline & \begin{array}{c}\text { Number of } \\\text { Car Owners }\end{array} & \begin{array}{c}\text { Number Who Do } \\\text { Not Own a Car }\end{array} \\\hline \text { Dorm resident } & 32 & 88 \\\hline \text { Lives off campus } & 59 & 26 \\\hline\end{array}$$
Graphs and Statistics
Introduction to Probability
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD