Question

The cumulative distribution function for heights (in meters) of trees in a forest is . (a) Explain in terms of trees the meaning of the statement . tells us that of the trees in the forest have . (b) Which is greater, or

Answer 1

#See solution for details

Explanation:

a.Given that the cumulative distribution function for heights is
`F(x)`.

Also given the cumulative distributions F(7)=0.6

-F(7)=06 is signifies that the fraction of trees less than 7 meters in height is 0.6 .

b .Which is greater, F(7) or F(6):

-We note that the cumulative distribution function
`F(t)` increases with increasing values of
`t`.

-Hence F(7) is greater than F(6),
`F(7)>F(6)`, that is to say the the fraction of trees of height less than 7 meters is higher than the fraction of trees less than 6 meters.