2 An arborist collects data on the height of mature rimu trees in the local area. Letting X be the eight in metres of a randomly selected rimu tree, then the data suggests that P(X > 35) = 0.08 nd P(X < 25) = 0.14. Assuming that X is normally distributed, answer the following: (a) Determine the parameters u and o? which describe the distribution of X. (b) It is estimated there are 1200 rimu trees in the local area, how many would you expect to have a height greater than 40 metres.

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2 An arborist collects data on the height of mature rimu trees in the local area. Letting X be the
height in metres of a randomly selected rimu tree, then the data suggests that P(X > 35) = 0.08
and P(X < 25) = 0.14. Assuming that X is normally distributed, answer the following:
(a) Determine the parameters µ and o? which describe the distribution of X.
(b) It is estimated there are 1200 rimu trees in the local area, how many would you expect to
have a height greater than 40 metres.
Transcribed Image Text:2 An arborist collects data on the height of mature rimu trees in the local area. Letting X be the height in metres of a randomly selected rimu tree, then the data suggests that P(X > 35) = 0.08 and P(X < 25) = 0.14. Assuming that X is normally distributed, answer the following: (a) Determine the parameters µ and o? which describe the distribution of X. (b) It is estimated there are 1200 rimu trees in the local area, how many would you expect to have a height greater than 40 metres.
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