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S2 sampling help

I really need help with this S2 question.

A liquid drug is marketed in phials containing a nominal of 1.5ml but the amounts can vary slightly. The volume in each hail may be modeled by a normal distribution with mean 1.55ml and standard deviation sigma ml. The phials are sold in packs of 5 randomnly chosen phials. It is required that in less than 0.5% of packs will the total volume of the drug be less than 7.5 ml. Find the value of sigma

Thank you
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Original post by Science rules
I really need help with this S2 question.

A liquid drug is marketed in phials containing a nominal of 1.5ml but the amounts can vary slightly. The volume in each hail may be modeled by a normal distribution with mean 1.55ml and standard deviation sigma ml. The phials are sold in packs of 5 randomnly chosen phials. It is required that in less than 0.5% of packs will the total volume of the drug be less than 7.5 ml. Find the value of sigma

Thank you


So, if the amount in one vial is ∼N(1.55,σ2)\sim N(1.55,\sigma^2)

What's the distribution of the total amount in 5 randomly chosen vials?
(edited 10 years ago)

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