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Homework answers / question archive / Sugar comes in 1 kg bags (1,000 grams)

Sugar comes in 1 kg bags (1,000 grams)

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Sugar comes in 1 kg bags (1,000 grams). The weights are normally distributed. The mean is 1,010 grams, with a standard deviation of 6 grams. What is the probability you will get cheated when you buy sugar (getting less than 1,000 grams)?

Round your answer to four digits (e.g. 0.5217)

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Probability that we will get cheated when we buy sugar is 0.0475 

 

Note: Solution is given in the explanation part.

Step-by-step explanation

Given : mean M = 1010 9 standard deviation , = 6 . I- score formula is To find p ( 2 < 1000 ) For 2 =
1000 Z = 1000 - 1010 - 1. 67. 6 p ( 20 < 1000 ) = p ( * < - 1 . 67 ) Using I-score table, p ( z < - 1. 67
) = 0. 0475. :. P ( 2( < 1000 ) = 0 . 0475

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