Question

The amount of time, in minutes, that a person must wait for a
taxi is uniformly distributed between 1 and 30 minutes,
inclusive.

1.Find the probability density function, f(x).

2.Find the mean.

3.Find the standard deviation.

4.What is the probability that a person waits fewer than 5
minutes.

5.What is the probability that a person waits more than 21
minutes.

6.What is the probability that a person waits exactly 5
minutes.

7.What is the probability that a person waits between 11 and
15 minutes.

Answer #1

The amount of time, in minutes, that a person must wait for a
bus is uniformly distributed between zero and 20 minutes,
inclusive.
What is the probability that a person waits fewer than 13.5
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On the average, how long must a person wait? Find the mean, μ,
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Find the 40th percentile. Draw a graph.

The amount of time, in minutes, that a person must wait for a
taxi is uniformly distributed between 1 and 30 minutes,
inclusive.
1.Find P(x<10 | x<22).
2.Find the 60th percentile.

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for a bus is uniformly distributed between 0 and 15 minutes,
inclusive.
1. What is the average time a person must wait for a
bus?
2. What is the probability that a person waits 12.5
minutes or less?

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min.
c) find the probability that a person waits between 5-10
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A
subway train on the Red Line arrives every 12 minutes during rush
hour. We are interested in the length of time a commuter must wait
for a train to arrive. The time follows a unifrom distribution.
A) give the distribution of X
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