4.2P The effectiveness of solar-energy heating units depends on the amount of radiation available from the sun. For a typical October, daily total solar radiation in Tampa, Florida, approximately follows the probability density function given below (units are hundreds of calories): ;(x – 2)(6 – x) 2

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Chapter1: Combinatorial Analysis
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4.2P The effectiveness of solar-energy heating units depends on the amount of
radiation available from the sun. For a typical October, daily total solar radiation in
Tampa, Florida, approximately follows the probability density function given below
(units are hundreds of calories):
: (x – 2)(6 – x)
2<x<6
f(x) =
elsewhere
(a) Find the probability that solar radiation will exceed 300 calories on a
typical October day.
(b) What amount of solar radiation is exceeded on exactly 50% of the October
days, according to this model?
Transcribed Image Text:4.2P The effectiveness of solar-energy heating units depends on the amount of radiation available from the sun. For a typical October, daily total solar radiation in Tampa, Florida, approximately follows the probability density function given below (units are hundreds of calories): : (x – 2)(6 – x) 2<x<6 f(x) = elsewhere (a) Find the probability that solar radiation will exceed 300 calories on a typical October day. (b) What amount of solar radiation is exceeded on exactly 50% of the October days, according to this model?
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