SOLUTION: The weight of a can of stewed tomatoes is listed as 16 oz., but in actuality, the weight between cans may vary, and in fact is normally distributed with mean = 16.2 ounces and stan

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: The weight of a can of stewed tomatoes is listed as 16 oz., but in actuality, the weight between cans may vary, and in fact is normally distributed with mean = 16.2 ounces and stan      Log On

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Question 322538: The weight of a can of stewed tomatoes is listed as 16 oz., but in actuality, the weight between cans may vary, and in fact is normally distributed with mean = 16.2 ounces and standard deviation = 0.1 oz. What is the probability that a consumer buys a can whose contents are actually less than the stated weight of 16 oz.?
Answer by stanbon(57967) About Me  (Show Source):
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The weight of a can of stewed tomatoes is listed as 16 oz., but in actuality, the weight between cans may vary, and in fact is normally distributed with mean = 16.2 ounces and standard deviation = 0.1 oz. What is the probability that a consumer buys a can whose contents are actually less than the stated weight of 16 oz.?
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z(16) = (16-16.2)/0.1 = -0.2/0.1 = -2
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P(x < 16) = P(z < -2) = normalcdf(-1000,-2) = 0.0228
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Cheers,
Stan H.