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# 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

- PuzzlingLv 73 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

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- cidyahLv 73 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

- RonaldLv 43 years agoReport
you have an error

180-60=120

so f(x)=1/120 not 1/60 - Login to reply the answers