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 x) - 2(1 - x) Osxs1 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. (Hìnt: Drawing a picture and shading the appropriate area will help.) (a) The probability that gravel sold exceeds ton. (b) The probabllity that gravel sold is at least ton. 2.

College Algebra (MindTap Course List)
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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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
S2(1 - x) osx s1
otherwise.
(x)
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.
8
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 S2(1 - x) osx s1 otherwise. (x) 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. 8
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