Question 8 Based on a quality control report, the weights of cereal boxes coming out of the production line are normally distributed with a mean of 60.4 oz and a standard deviation of 1.5 oz. Let X be the weight of a randomly selected cereal box. 1. Describe the probability distribution of X and state its parameters μ and σ: X - Select an answer ( Select an answer ZNF BT σ 2. Find the probability that the weight of a randomly selected cereal box is a. less than 58.1 oz. b. between 61.7 and 64.9 oz. c. more than 58.4 oz. (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) 3. Find the 40-th percentile for the weights of cereal boxes coming out of the production line. (Round the answer to 1 decimal place) oz

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Question 8
Based on a quality control report, the weights of cereal boxes coming out of the production line are
normally distributed with a mean of 60.4 oz and a standard deviation of 1.5 oz. Let X be the weight of a
randomly selected cereal box.
1. Describe the probability distribution of X and state its parameters μ and σ:
(μ=
X - Select an answer
Select an answer
ZNLART
F
2. Find the probability that the weight of a randomly selected cereal box is
(Round the answer to 4 decimal places)
a. less than 58.1 oz.
b. between 61.7 and 64.9 oz.
c. more than 58.4 oz.
(Round the answer to 4 decimal places)
(Round the answer to 4 decimal places)
3. Find the 40-th percentile for the weights of cereal boxes coming out of the production line.
(Round the answer to 1 decimal place)
Oz
Transcribed Image Text:Question 8 Based on a quality control report, the weights of cereal boxes coming out of the production line are normally distributed with a mean of 60.4 oz and a standard deviation of 1.5 oz. Let X be the weight of a randomly selected cereal box. 1. Describe the probability distribution of X and state its parameters μ and σ: (μ= X - Select an answer Select an answer ZNLART F 2. Find the probability that the weight of a randomly selected cereal box is (Round the answer to 4 decimal places) a. less than 58.1 oz. b. between 61.7 and 64.9 oz. c. more than 58.4 oz. (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) 3. Find the 40-th percentile for the weights of cereal boxes coming out of the production line. (Round the answer to 1 decimal place) Oz
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