Solution Found!
Solved: A candy maker produces mints that have a label
Chapter 5, Problem 8E(choose chapter or problem)
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 \(P(X< 20.857)\).
(b) During a particular shift, 100 mints are selected at random and weighed. Let \(Y\) equal the number of these mints that weigh less than \(20.857\) grams. Approximate \(P(Y \leq 5)\).
(c) Let \(\bar{X}\) equal the sample mean of the 100 mints selected and weighed on a particular shift. Find \(P(21.31 \leq \bar{X} \leq 21.39)\).
Equation Transcription:
20.857)
Text Transcription:
20.4
N(21.37, 0.16)
X
P(X< 20.857)
Y
20.857
P(Y < or = 5)
Bar X
P(21.31 < or = bar X < or = 21.39)
Questions & Answers
QUESTION:
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 \(P(X< 20.857)\).
(b) During a particular shift, 100 mints are selected at random and weighed. Let \(Y\) equal the number of these mints that weigh less than \(20.857\) grams. Approximate \(P(Y \leq 5)\).
(c) Let \(\bar{X}\) equal the sample mean of the 100 mints selected and weighed on a particular shift. Find \(P(21.31 \leq \bar{X} \leq 21.39)\).
Equation Transcription:
20.857)
Text Transcription:
20.4
N(21.37, 0.16)
X
P(X< 20.857)
Y
20.857
P(Y < or = 5)
Bar X
P(21.31 < or = bar X < or = 21.39)
ANSWER:
Step 1 of 5
Given that,
The distribution of the weights of the mints is 