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Please write out the formulas and explain how you got the answer, I have a test

ID: 3218487 • Letter: P

Question

Please write out the formulas and explain how you got the answer, I have a test next week and need to understand fully.

The weight of a randomly selected bag of corn chips coming off an assembly line is a random variable with mean =9 oz. and standard deviation =0.4 oz. Suppose we pick two bags at random and determine the total weight of the two bags. Let X = weight of first bag and Y = weight of second bag, we want X + Y total weight. What is the standard deviation of the total weight of the two bags?

a) 0.8000 oz.

b) 0.5657 oz.

c) 0.3200 oz.

d) 0.8944 oz.

e) None of the above

Explanation / Answer

as from above total weight =X+Y

hence std deviation of total weight =(0.42+0.42)1/2 =0.5657

option B is correct