The shelf life of a product is a random variable that is related to consumer acceptance. It turns out that the shelf life Y in days of a certain type of bakery product has the density function shown to the right. What fraction of the loaves of this product stocked today would you expect to be sellable 4 days from now? ... f(y) = 1 1 The fraction of loaves stocked today that would be sellable 4 days from now is 0≤y<∞ elsewhere

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8. Please answer the following question.
The shelf life of a product is a random variable that is related to consumer acceptance. It turns out that the shelf life \( Y \) in days of a certain type of bakery product has the density function shown to the right. What fraction of the loaves of this product stocked today would you expect to be sellable 4 days from now?

\[ f(y) = 
  \begin{cases} 
   \frac{1}{4} e^{-\frac{1}{4}y}, & 0 \leq y < \infty \\
   0, & \text{elsewhere}
  \end{cases}
\]

The fraction of loaves stocked today that would be sellable 4 days from now is _____. (Round to four decimal places as needed.)
Transcribed Image Text:The shelf life of a product is a random variable that is related to consumer acceptance. It turns out that the shelf life \( Y \) in days of a certain type of bakery product has the density function shown to the right. What fraction of the loaves of this product stocked today would you expect to be sellable 4 days from now? \[ f(y) = \begin{cases} \frac{1}{4} e^{-\frac{1}{4}y}, & 0 \leq y < \infty \\ 0, & \text{elsewhere} \end{cases} \] The fraction of loaves stocked today that would be sellable 4 days from now is _____. (Round to four decimal places as needed.)
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