SOLUTION: The mass of a 1000g container of yoghurt is equally likely to take on any value in the interval (995g,1010g). The container will not contain less than 995g or more than 1010g of

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Question 1192422: The mass of a 1000g container of yoghurt is equally likely to take on any value in the interval (995g,1010g). The container will not contain less than 995g or more than 1010g
of yoghurt.
a) What is the probability that a randomly chosen container of yoghurt has a mass
of less than 1000g?
b) If you buy 1000g of yoghurt container what is the amount of yoghurt you can
expect in your container? 1002.5
c) Calculate V(X) 18.75

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
The range is 15 gm and 5 gm are below 1000 gm. So a. is 5/15 or 1/3 probability.
-
The mean is in the middle 1or 1002.5 gm as you have.
-
V(x)=(b-a)^2/12=225/12=18.75 as you have.

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