The amount of beverage in a 16-oz bottle is normally distributed with a mean of 16.2 oz and a standard deviation of 0.1 oz. Find the probability that the amount of beverage in a randomly select can is (a) between 15.5 and 16.2 oz, (b) more than 16.4 oz, (c) less than 16.1 oz.

The amount of beverage in a 16-oz bottle is normally distributed with a mean of 16.2 oz and a standard deviation of 0.1 oz. Find the probability that the amount of beverage in a randomly select can is (a) between 15.5 and 16.2 oz, (b) more than 16.4 oz, (c) less than 16.1 oz.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 58CR

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Question

The amount of beverage in a 16-oz bottle is normally distributed with a mean of
16.2 oz and a standard deviation of 0.1 oz. Find the probability that the amount of
beverage in a randomly select can is (a) between 15.5 and 16.2 oz, (b) more than
16.4 oz, (c) less than 16.1 oz.

NOTE: Please explain each part, so the problem can be used as a Study Guide

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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