In order to stay alert at work, an employee set a timer to go off randomly sometime within 40 minutes. What is the probability the timer will go off between minutes 20 to 35?

Aidyn Meza 2022-09-16 Answered
In order to stay alert at work, an employee set a timer to go off randomly sometime within 40 minutes. What is the probability the timer will go off between minutes 20 to 35?
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Answers (1)

Kailey Santana
Answered 2022-09-17 Author has 12 answers
Time to which the timer will go off is uniformly distributed from a = 0 minutes and b = 40 minutes
Probability that the timer will go off between x 1 = 20 minutes and x 2 = 35 minutes is ( x 2 x 1 ) ( b a )
= ( 35 20 ) ( 40 0 )
= 0.375

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