Question

Distance learning. A study of the students taking distance learning courses at a university finds that...

Distance learning. A study of the students taking distance learning courses at a university finds that they are mostly older students not living in the university town. Choose a distance learning student at random. Let A be the event that the student is 25 years old or older and B the event that the student is local. The study finds that P(A) = 0.7, P(B) = 0.25, and P(A and B) = 0.05.
(a) Make a Venn diagram showing the events: {A and B}, {A and not B}, {B and not A}, and {neither A nor B}.

(b) Describe each of these events in words.
(c) Find the probabilities of all four events and add the probabilities to your Venn diagram.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Distance learning. A study of the students taking distance learning courses at a university finds that...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 5. Consider randomly selecting a student at a certain university, and let A denote the event...

    5. Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual has a Visa credit card and B be the analogous event for a MasterCard. Suppose that P(A) = 0.5, P(B) = 0.4, P(A∩B) = 0.25. Calculate and interpret the following probabilities (a Venn diagram may help). (a)P(B|A) (b)P(B' |A) (c)P(A|B) (d)P(A' |B) (e) Given that the selected individual has at least one card, what is the probability that he or...

  • 4&5 (b) at most a total of 4. 4. The class registrations of 100 students are...

    4&5 (b) at most a total of 4. 4. The class registrations of 100 students are analyzed. It is found that 50 students study Applied Mechanics, 45 study Chemistry, and 15 studied both Applied Mechanics and Chemistry (a) If one of these students is selected at random, find the probability that i. the student took applied mechanics or chemistry. ii. the student did not take either of these subjects. iii. the student took chemistry but not applied mechanics. (b) Are...

  • 4 and 5 please 4. The class registrations of 100 students are analyzed. I is found...

    4 and 5 please 4. The class registrations of 100 students are analyzed. I is found that 50 students study Applied Mechanics, 45 study Chemistry, and 15 studied both Applied Mechanics and Chemistry (a) If one of these students is selected at random, find the probability that i the student took applied mechanics or chemistry ii. the student did not take either of these subjects iii. the student took chemistry but not applied mechanics (b) Are studying Applied Mechanics and...

  • 15.35% of the kids in AMS are Psychology majors. (PS) 30% of the students in AMS...

    15.35% of the kids in AMS are Psychology majors. (PS) 30% of the students in AMS are Business majors. (B) 5% are both. Use a Venn diagram to help you answer the following: a. What is the probability that an AMS student selected at random is a Psychology major but not a business major? b. What is the probability that the student majors in neither Psychology nor Business? c. Are the events Psychology Major and Business Major independent or dependent?...

  • 3) The following Venn diagram represents a sample of IFP students at the University of Reading....

    3) The following Venn diagram represents a sample of IFP students at the University of Reading. • ISS is the event that they study Information Systems and Statistics. IBM is the event that they study Introduction to Business and Management ECO is the event that they study Economics. . ISS 63 24 38 24 55 10 ECO IBM a) How many students are in the sample? (1 mark) b) A student is chosen at random. Find the probability that he/she:...

  • The class registrations of 100 students are analyzed. It is found that 50 students study Applied...

    The class registrations of 100 students are analyzed. It is found that 50 students study Applied Mechanics, 45 study Chemistry, and 15 studied both Applied Mechanics and Chemistry (a) If one of these students is selected at random, find the probability that 1. the student took applied mechanics or chemistry . ii. the student did not take either of these subjects 111. the student took chemistry but not applied mechanics (b) Are studying Applied Mechanics and studying Chemistry mutually exclusive...

  • 4. The class registrations of 100 students are analyzed. It is found that 50 students study...

    4. The class registrations of 100 students are analyzed. It is found that 50 students study Applied Mechanics, 45 study Chemistry, and 15 studied both Applied Mechanics and Chemistry (a) If one of these students is selected at random, find the probability that i. the student took applied mechanics or chemistry ii. the student did not take either of these subjects. iii. the student took chemistry but not applied mechanics (b) Are studying Applied Mechanics and studying Chemistry mutually exclusive...

  • A poll of 222 students at a university reveals that 82 are taking a lab science course, and 58 are members of the Honors College, while 15 are taking a lab science and are members of the Honors Co...

    A poll of 222 students at a university reveals that 82 are taking a lab science course, and 58 are members of the Honors College, while 15 are taking a lab science and are members of the Honors College. Let Lthe event that a student is taking a lab science, and Hthe event that a student is a member of the Honors College. Complete parts (a) through (e) below. a. Display this data in a Venn diagram. Choose the correct...

  • 1. Suppose that A, B, and C are events such that P[A]- PB0.3, PC 0.55, PIANB]-...

    1. Suppose that A, B, and C are events such that P[A]- PB0.3, PC 0.55, PIANB]- For each of the events given below in parts (a)-(d), do the following: (i) Write a set expression for the event. (Note that there are multiple ways to write this in many cases.) (ii) Evaluate the probability of the event. Hint: Draw the Venn Diagram. You may then want to identify the probabilities of each of the disjoint regions in the diagram before starting...

  • Probabilitv: NON-Mutually Exclusive Event 4. A group of 20 students have applied to be on a...

    Probabilitv: NON-Mutually Exclusive Event 4. A group of 20 students have applied to be on a university committee that will advise government on tuition fee policy. Six of the students in total are completing a Bachelor of Science degree, 12 of the students in total are completing a Bachelor of Arts degree, 2 are completing degrees in both the faculty of Arts and the faculty of Science, and 3 are completing a Bachelor of Commerce degree (Business) only. One student...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT