Let X = the distance (in meters) that a small animal moves from its birthplace to...

Let X = the distance (in meters) that a small animal moves from its birthplace to the first territorial vacancy it encounters. Suppose that for a specific species X has a uniform distribution with a mean of 75 meters and a standard deviation of 10 meters.

a) What is the probability that the distance is at most 100 m? At most 200m?

b) What is the probability that the distance is between 100m and 200m?

c) What is the probability that the distance exceeds the mean distance?

d) What is the distance exceeded by 15% of the individuals?

e) If the animal has been walking for 100 m, what is the probability that it will have to walk for another 50m?

f) If you observe 15 animals, what is the probability that less than 5 will have to walk more than 100m?

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orchestra answered 11 months ago

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