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4 Unit A2 2: Applied Mathematics (A-level only)

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Question 96

A machine fills bottles with water. The amount of water in each bottle, W W\,W ml, is Normally distributed with mean 500 ml.

It is given that 30% of bottles contain more than 504 ml.

Find the value of k k\,k for which P(k<W<505)=0.45P(k < W < 505) = 0.45P(k<W<505)=0.45. Give your answer to 1 decimal place.

[6]
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4 Unit A2 2: Applied Mathematics (A-level only) Questions

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