Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

nickersia

  • one year ago

John drives to work and passes three sets of traffic lights. The probability that he has to stop at the first is 0.6, second 0.7, third 0.8. He arrives late if he has to stop at any two sets of traffic lights. Calculate the probability that he is late. Answer is 0.788, how do I get it?

  • This Question is Closed
  1. kropot72
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    P(stops at first & second) = 0.6 * 0.7 = 0.42 P(does not stop at second) = 1 - 0.7 = 0.3 P(stops at first & third) = 0.6 * 0.3 * 0.8 = 0.144 P(does not stop at first) = 1 - 0.6 = 0.4 P(stops at second and third) = 0.4 * 0.7 * 0.8 = 0.224 P(arrives late) = 0.42 + 0.144 + 0.224 = ?

  2. nickersia
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh! I understand now how it's done! I did it slightly different just to make it more clear for me :) P(does not stop at third) = 0.2 P(stops at first and second) = 0.6 * 0.7 * 0.2 = 0.084 P(does not stop at second) = 0.3 P(stops at first & third) = 0.6 * 0.3 * 0.8 = 0.144 P(does not stop at first) = 0.4 P(stops at second and third) = 0.4 * 0.7 * 0.8 = 0.224 P(stops at first, second and third) = 0.6 * 0.7 * 0.8 = 0.336 P(late) = 0.084 + 0.144 + 0.224 + 0.336 = 0.788 Thank you very much for all the help! I appreciate it! :)

  3. kropot72
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You're welcome :)

  4. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.