An article suggests the uniform distribution on the interval from 7.5 to 20 as a model forx= depth (in centimeters) of the bioturbation layer in sediment for a certain region.

(a) Draw the density curve forx.

(b) What is the height of the density curve?

(c) What is the probability thatxis at most15?

P(x15) =

(d) What is the probability thatxis between13and19?

P(13x19) =

(e) What is the probability thatxis between10and16?

P(10x16) =

(f) Why are the two probabilities computed in parts (d) and (e) equal?

The two probabilities are equal because they are represented on the graph by rectangles of equal width and equal height.

The two probabilities are equal because their midpoints are at the samex-value.

The two probabilities are equal because they end at the samex-value.

The two probabilities are equal because they begin at the samex-value.