7.24 Let x denote the amount of gravel sold (in tons)

during a randomly selected week at a particular sales facility.

Suppose that the density curve has height f (x)

above the value x, where

The density curve (the graph of f (x)) is shown in the following figure:

Use the fact that the area of a triangle 5 12 1base2 1height2 to calculate each of the following probabilities. (Hint:
Drawing a picture and shading the appropriate area will help.)

e. The probability that gravel sold exceeds 12 ton

f. The probability that gravel sold is at least 14 ton

Transcribed Image Text:

f(x) ==== [2(1-x) 0xl o otherwise