5 The weights of full cans of a particular brand of pet food may be taken to be normally distributed, with mean 260 g and standard deviation 10 g. The weights of the empty cans may be taken to be normally distributed, with mean 30 g and standard deviation 2 g. Find (i) the mean and standard deviation of the weights of the contents of the cans (ii) the probability that a full can weighs more than 270 g (iii) the probability that two full cans together weigh more than 540 g.

A First Course in Probability (10th Edition)
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5 The weights of full cans of a particular brand of pet food may be taken to
be normally distributed, with mean 260 g and standard deviation 10g. The
weights of the empty cans may be taken to be normally distributed, with mean
30 g and standard deviation 2 g. Find
(i) the mean and standard deviation of the weights of the contents of the cans
(ii) the probability that a full can weighs more than 270 g
(iii) the probability that two full cans together weigh more than 540 g.
Transcribed Image Text:5 The weights of full cans of a particular brand of pet food may be taken to be normally distributed, with mean 260 g and standard deviation 10g. The weights of the empty cans may be taken to be normally distributed, with mean 30 g and standard deviation 2 g. Find (i) the mean and standard deviation of the weights of the contents of the cans (ii) the probability that a full can weighs more than 270 g (iii) the probability that two full cans together weigh more than 540 g.
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