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djverab [1.8K]
3 years ago
8

Trick or treaters arrive to your house according to a Poisson process with a constant rate parameter of 20 per hour. Suppose you

begin sitting on your front porch, observing these arrivals, at some point in time. Suppose a trick or treater arrived 30 minutes ago, but there have been none since. What is the expected value of interarrival time (in minutes) from the previous trick or treater to the next one
Mathematics
1 answer:
Dmitry [639]3 years ago
8 0

Answer:

The expected value of interarrival time (in minutes) from the previous trick or treater to the next one is 3 minutes.

Step-by-step explanation:

We have a Poisson process with a constant rate parameter of 20 arrival per hour.

This type of processes are memory-less, meaning that no matter how much time has passed form the last event, the probabilities of an arrival stay the same.

The mean interarrival time can be calculated as the inverse of the mean arrival for the Poisson process.

If the Poisson process has a rate of 20 arrivals per hour, the mean interarrival time is:

\bar t=1/\lambda=1/20=0.05\,h/arrival=3 \,min/arrival

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Answer:

(b) The number of pounds of berries each person would receive is 1\frac{5}{8}pounds.

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The amount of berries in first basket = 3 3/8 pounds

Now, 3\frac{3}{8}  = 3+\frac{3}{8} = 3 + 0.375 = 3.375

So, the amount of berries in first basket = 3.375 pounds

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Now, 2\frac{7}{8}  = 2+\frac{7}{8} = 2 + 0.875 = 2.875

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Now, the total berries = Berries in ( First + Second)  basket

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3 years ago
How to answer this ?
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Which number has the same value as 3 X 1/10?
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so how to do this is you have to make 3 into a fraction

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