Answered: Soda comes in cans where the amount of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Question

Soda comes in cans where the amount of carbonated refreshment contained in each can is normally distributed with a mean of 12.1 fluid ounces and a standard deviation of 0.12 fluid ounces. Let the random variable S measure the amount of liquid in a randomly selected soda can.

State the distribution of the random variable S.

Group of answer choices

S∼Normal(0,1)

S∼Uniform(11.98,12.22)

S∼Continuous(12.1,0.12)

S∼Normal(12.1,0.12)

Compute the probability that a randomly selected can of soda contains at least the advertised 12 fluid ounces printed on the can's label.

Compute the value of P18 in this scenario.

Let Z∼Normal(0,1). Compute the value of z0.04.

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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