7) In a back yard vineyard in Napa valley with 10 grape vines in a row, if the weather works well (just right), rain in the spring and dry through summer, the yield for each vine is distributed roughly binomial with N=800, p=.71. In a drought the yield is Binomial with N=800 and P=.6, while if the year is too wet, the yield of useful grapes per vine is N=700, P=.78. Under climate change the probability of a just right year is about .05, of a too wet year is .15, and a dry year is .8. On a just right year the wine can sell for 200 dollars/bottle, on a dry year the quality drops so it will sell for 100 dollars a bottle, on wet year it will sell for 25 dollars a bottle. (The yield for all 10 vines was more than 5600 grapes. (use the normal approximation to the binomial) Given this yield: What is the probability that you will be able to sell for 200 dollars a bottle? (points)
7) In a back yard vineyard in Napa valley with 10 grape vines in a row, if the weather works well (just right), rain in the spring and dry through summer, the yield for each vine is distributed roughly binomial with N=800, p=.71. In a drought the yield is Binomial with N=800 and P=.6, while if the year is too wet, the yield of useful grapes per vine is N=700, P=.78. Under climate change the probability of a just right year is about .05, of a too wet year is .15, and a dry year is .8. On a just right year the wine can sell for 200 dollars/bottle, on a dry year the quality drops so it will sell for 100 dollars a bottle, on wet year it will sell for 25 dollars a bottle. (The yield for all 10 vines was more than 5600 grapes. (use the normal approximation to the binomial) Given this yield: What is the probability that you will be able to sell for 200 dollars a bottle? (points)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 8P
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Transcribed Image Text:7) In a back yard vineyard in Napa valley with 10 grape vines in a row, if the weather works well
(just right), rain in the spring and dry through summer, the yield for each vine is distributed
roughly binomial with N=800, p=.71 . In a drought the yield is Binomial with N=800 and P=.6,
while if the year is too wet, the yield of useful grapes per vine is N=700, P=.78. Under climate
change the probability of a just right year is about .05, of a too wet year is .15, and a dry year is
.8. On a just right year the wine can sell for 200 dollars/bottle, on a dry year the quality drops so
it will sell for 100 dollars a bottle, on wet year it will sell for 25 dollars a bottle. (The yield for all
10 vines was more than 5600 grapes. (use the normal approximation to the binomial)
Given this yield:
What is the probability that you will be able to sell for 200 dollars a bottle?
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