Anonymous
Anonymous asked in Science & MathematicsMathematics · 3 years ago

Data Management Question?

Data Management Question?

In a board game, a timer is designed to run out somewhere between 60 s and 180 s. All times are equally distributed from 60 s to 180 s.

What is the probability that the timer runs out in less than 100 s?

What is the probability that the timer lasts more than 130 s?

Please explain how you found the answer!

2 Answers

Relevance
  • 3 years ago

    You have a uniform distribution with a range of 120 seconds.

    180 - 60 = 120

    PART A:

    Between 60 and 100, there are 40 seconds (out of 120 total)

    P(X < 100) = 40/120 = 1/3

    Answer:

    1/3

    PART B:

    Between 130 and 180, there are 50 seconds (out of 120 total)

    P(X > 130) = 50/120 = 5/12

    Answer:

    5/12

    • Commenter avatarLogin to reply the answers
  • cidyah
    Lv 7
    3 years ago

    We have a uniform distribution between 60 and 180

    f(x) = 1/(180-60) , 60 < x < 180

    = (1/60) , 60 < x < 180

    What is the probability that the timer runs out in less than 100 s?

    (1/60) ∫[60,100] dx

    = (1/60)(100-60)

    = 40/60

    = 4/6

    = 2/3

    What is the probability that the timer lasts more than 130 s

    (1/60) ∫[130,180] dx

    = (1/60)((180-130)

    = 50/60

    = 5/6

    • Ronald
      Lv 4
      3 years agoReport

      you have an error
      180-60=120
      so f(x)=1/120 not 1/60

    • Commenter avatarLogin to reply the answers
Still have questions? Get your answers by asking now.