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likoan [24]
3 years ago
6

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 m

inutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.
Mathematics
1 answer:
rusak2 [61]3 years ago
8 0

Answer:

0.59375

Step-by-step explanation:

In a uniform distribution the probability that the time t is greater than any given value, X, is:

P(t\geq X)=1-\frac{X}{b-a}

In this problem, the limits of the distribution are a = 0 and b = 8 minutes.

For X =3.25 minutes:

P(t\geq 3.25)=1-\frac{3.25}{8-0} \\P(t\geq 3.25)=0.59375

The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.

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