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?

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• 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

1/3

PART B:

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

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

5/12

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• 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

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

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