YeoItzJenny7015 YeoItzJenny7015

02-01-2023
Mathematics

Answered

It is known that weights of packs of potato chips produced by a certain factory follow a normal distribution of mean 80 g and standard deviation 0.8 g.
(a) (5 points) suppose that 115 packs of potato chips are randomly chosen. find the probability that their average weight is at least 79.91 g.
(b) (10 points) suppose that 115 packs of potato chips are randomly chosen. find the probability that at most 57 packs of potato chips weigh at least 79.91 g.
(c) (10 points) suppose that 22 packs of potato chips are randomly chosen and let s^2 be the sample variance of their weights. find positive numbers k1 and k2 so that p(s > k2) = p(s < k1) and p(k1 < s < k2) = 0.8.

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