(a) Let X denote the weight of a single mint selected at random from the production line. Find P(X> 22.07). (b) Suppose that 15 mints are selected independently and weighed. Let Y equal the number of these mints that weigh less than 20.857 grams. Find P(Y ≤ 2).

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3.3-11. A candy maker produces mints that have a label
weight of 20.4 grams. Assume that the distribution of the
weights of these mints is N(21.37, 0.16).
(a) Let X denote the weight of a single mint selected at
random from the production line. Find P(X> 22.07).
(b) Suppose that 15 mints are selected independently and
weighed. Let Y equal the number of these mints that
weigh less than 20.857 grams. Find P(Y ≤ 2).
Transcribed Image Text:3.3-11. A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is N(21.37, 0.16). (a) Let X denote the weight of a single mint selected at random from the production line. Find P(X> 22.07). (b) Suppose that 15 mints are selected independently and weighed. Let Y equal the number of these mints that weigh less than 20.857 grams. Find P(Y ≤ 2).
3.3-11 (a) 0.0401; (b) 0.8159.
Transcribed Image Text:3.3-11 (a) 0.0401; (b) 0.8159.
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