Let p (1) = -0.0375ť² + 0.225t be the density function for the shelf life of a brand of banana, with t in weeks and 0

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Chapter1: Combinatorial Analysis
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Let p (t) = -0.0375² + 0.225t be the density function for the shelf life of a brand of banana, with t in weeks and 0 <t< 4. See
the figure below.
fraction of bananas
per week of age
0.4
p(t)
0.3
0.2
0.1 F
t (weeks)
4
2
3
Round your answers to the nearest percent.
Find the probability that a banana will last.
(a) Between 1 and 2 weeks.
The probability that a banana will last between I and 2 weeks is i
%.
(b) More than 3 weeks.
The probability that a banana will last more than 3 weeks is i
%.
(c) More than 4 weeks.
The probability that a banana will last more than 4 weeks is
%.
Transcribed Image Text:Let p (t) = -0.0375² + 0.225t be the density function for the shelf life of a brand of banana, with t in weeks and 0 <t< 4. See the figure below. fraction of bananas per week of age 0.4 p(t) 0.3 0.2 0.1 F t (weeks) 4 2 3 Round your answers to the nearest percent. Find the probability that a banana will last. (a) Between 1 and 2 weeks. The probability that a banana will last between I and 2 weeks is i %. (b) More than 3 weeks. The probability that a banana will last more than 3 weeks is i %. (c) More than 4 weeks. The probability that a banana will last more than 4 weeks is %.
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