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# Mathematics Statistics 1 The Normal Distribution?

A machine dispences liquid into cartons in such a way that the amount of liquid dispensed on each occasion is normally distributed with standard deviation 20ml and mean 266ml.

CARTONS THAT WEIGH LESS THAN 260ML HAVE TO BE RECYCLED. WHAT PROPORTION OF CARTONS ARE RECYCLED?

CARTONS WEIGHING MORE THAN 300ml PRODUCE NO PROFIT.

WHAT PERCENTAGE OF CARTONS WILL THIS BE?

### 3 Answers

- MSDCLv 41 decade agoFavorite Answer
Less than 260 ml (Recycled) = 38.2089%

More than 300ml=4.4565%

Source(s): http://davidmlane.com/hyperstat/z_table.html - hermannsLv 44 years ago
ok JJ--- you're searching for the z cost that delivers you a million.0-0.5-0.0228) it particularly is 0.4772. looking that area up on the z table you get a cost of two stdev's and because it particularly is a one tailed attempt the propose might prefer to be under the 199 so 2 = (199-mu)/29 So, fifty 8 = 199-mu and as a effect the propose mu = 141.