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Alex Ar [27]
3 years ago
8

Suppose that you arrive at a bus stop randomly, so all arrival times are equally likely. The bus arrives regularly every 30 minu

tes without delay (say, on the hour and on the half hour). What is the expected value of your waiting time? Explain how you got your answer.
Mathematics
1 answer:
Semmy [17]3 years ago
7 0

Answer:

E(x) = 15 minutes

Step-by-step explanation:

The random variable X (waiting time)  has a uniform distribution between the interval [0,30], because it is just as likely that you arrive in any time and then your waiting time is minimum 0 minutes and maximum 30 minutes

The expected value  of a random variable uniform is:

E(x) = \frac{a+b}{2}

      Where a and b are the interval's extremes

Thus

E(x) = \frac{0+30}{2}

E(x) = 15 minutes

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