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Continuous random variables and the normal distribution — Question 308

Original QCE Vault practice · 4 marks

Q308 · Practice questionTechnology-activeComplex familiar4 marks

QUESTION 308 (4 marks)

The fill volume XX mL of a reusable bottle is normally distributed with mean 500500 mL. Exactly 10%10\% of bottles contain less than 495495 mL.
a)
Determine the standard deviation, to 0.010.01 mL.
[2 marks]
b)
Determine the proportion containing between 495495 and 505505 mL.
[2 marks]
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