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3. (15 points / 3 points each) Wait time for a taxi outside Penn Station in New York City is uniformly distributed on the interval (0, 420) where the random variable X is given in seconds.

a. Classify this problem by type using the letter choices:
A. binomial probability problem, C. normal probability problem about a single X,
B. uniform probability problem, D. normal probability problem about a
E. none of the above.


b. What is the probability that you wait more than 3 minutes?


c. What is the probability that you wait less than 2 minutes?


d. What is your expected wait time?


e. 30% of the time you can expect to wait longer than how many seconds for a taxi?

Quote:

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Originally Posted by stewardt

3. (15 points / 3 points each) Wait time for a taxi outside Penn Station in New York City is uniformly distributed on the interval (0, 420) where the random variable X is given in seconds.

a. Classify this problem by type using the letter choices:
A. binomial probability problem, C. normal probability problem about a single X,
B. uniform probability problem, D. normal probability problem about a
E. none of the above.

Mr F says: B!!!


b. What is the probability that you wait more than 3 minutes?


c. What is the probability that you wait less than 2 minutes?


d. What is your expected wait time?


e. 30% of the time you can expect to wait longer than how many seconds for a taxi?

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The others are just application of the rules and theorems. Where are you stuck?

Quote:

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Originally Posted by mr fantastic

The others are just application of the rules and theorems. Where are you stuck?

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a)B
b).5714
c).2857
d)3.5
e)2.1

These are the answers I got for 3

Quote:

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Originally Posted by stewardt

a)B
b).5714
c).2857
d)3.5 Mr F says: Give the unit!
e)2.1 Mr F says: The question requires an answer in seconds, not minutes .....

These are the answers I got for 3

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b) and c) probably should be expressed as exact fractions ....