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A candy maker produces mints that have a label weight of
Chapter 3, Problem 11E(choose chapter or problem)
Problem 11E
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).
Questions & Answers
QUESTION:
Problem 11E
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).
ANSWER:
Step 1 of 3:
Given that a candy maker produces mints having weight 20.4 grams.
Also it is given that the weight of the mints have a normal distribution with parameters 21.37 and 0.16.
That is weight of the mints have N(21.37,0.16) distribution.
Thus mean of the weight of the mints,=21.37 and variance of the weights of the mints,
=0.16.