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 S2(1 - x) 0SXS1 otherwise. The density curve (the graph of f(x)) is shown in the following figure. Density 2 Gravel (tons) Use the fact that the area of a triangle = (base)(height) to calculate each of the probabilities. (Hint: Drawing a picture and shading the appropriate area will help.) (a) The probability that gravel sold exceeds 1 ton. (b) The probability that gravel sold is at least ton.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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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
F(x) = {6"
|2(1 - x) 0s x< 1
otherwise.
The density curve (the graph of f(x)) is shown in the following figure.
Density
Gravel (tons)
Use the fact that the area of a triangle = (base)(height) to calculate each of the probabilities. (Hint: Drawing a picture and shading the appropriate area will help.)
(a) The probability that gravel sold exceeds -
ton.
(b) The probability that gravel sold is at least
ton.
Transcribed Image Text: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 F(x) = {6" |2(1 - x) 0s x< 1 otherwise. The density curve (the graph of f(x)) is shown in the following figure. Density Gravel (tons) Use the fact that the area of a triangle = (base)(height) to calculate each of the probabilities. (Hint: Drawing a picture and shading the appropriate area will help.) (a) The probability that gravel sold exceeds - ton. (b) The probability that gravel sold is at least ton.
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