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anonymous
 one year ago
Bottles of wine are stacked in racks of 12. The weights of these bottles are normally distributed with
mean 1.3 kg and standard deviation 0.06 kg. The weights of the empty racks are normally distributed
with mean 2 kg and standard deviation 0.3 kg.
(i) Find the probability that the total weight of a full rack of 12 bottles of wine is between 17 kg and
18 kg.
anonymous
 one year ago
Bottles of wine are stacked in racks of 12. The weights of these bottles are normally distributed with mean 1.3 kg and standard deviation 0.06 kg. The weights of the empty racks are normally distributed with mean 2 kg and standard deviation 0.3 kg. (i) Find the probability that the total weight of a full rack of 12 bottles of wine is between 17 kg and 18 kg.

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phi
 one year ago
Best ResponseYou've already chosen the best response.1The total weight is the sum of two normally distributed values The first step is to find the mean and std dev of total weight. The mean will be the mean of the two distributions that you are adding the variance (square of std) will be the sum of the two variances Can you find the mean and variance of the total weight?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i was able to find the mean.. but the variance was not correct

phi
 one year ago
Best ResponseYou've already chosen the best response.1to find the variance, for find the variance of the wine and of the rack what do you get for them ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is that 1.02 ?? help me in calculating the variance... the rest i can do..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0in the answer the variance is 0.1332

phi
 one year ago
Best ResponseYou've already chosen the best response.1wine: mean 1.3 kg and standard deviation 0.06 kg. the variance of the wine is the standard deviation squared (multiplied by itself) what do you get for the variance of the wine?

phi
 one year ago
Best ResponseYou've already chosen the best response.1too many zeros. 0.06*0.06= 0.0036

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes sorry 1 zero in excess

phi
 one year ago
Best ResponseYou've already chosen the best response.1so the statistics for a *bottle* is mean 1.3 kg, var 0.0036 we need the statistics for 12 bottles. Add up those numbers 12 times (or simply multiply each by 12). what do you get ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you very much.. it was my homework..

phi
 one year ago
Best ResponseYou've already chosen the best response.1we are not done. Can you finish this?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes of course.. i know the rest.. i was having problem with the variance.. i forgot to square them..
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