The mass of packs of a certain type of coffee is normally distributed with a mean of
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Question:
The mass of packs of a certain type of coffee is normally distributed with a mean of 500 g and a standard deviation of 1.5 g.
(a) Find the probability that a pack weighs more than 520g
(b) The lightest 4% of the packs weigh less than a, while the heaviest 4% of the packs weigh more than b. Find a and b.
The packs in question (b) are rejected from the market.
(c) In a daily production of 1600 packs how many of them are expected to be rejected?
(d) We select 2 packs. Find the probability that both are rejected.
(e) We select 5 packs. Find the probability that at least one is rejected
(f) Find Q2 and Q3, the lower and upper quartiles of the weights.
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