A Soft Drink Company Fills Two-Liter Bottles on Several Different

question 39

Short Answer

A soft drink company fills two-liter bottles on several different lines of production equipment. The fill volumes are normally distributed with a mean of 1.97 liters and a variance of 0.04 (liter)².
A) Find the probability that a randomly selected two-liter bottle would contain between 1.95 and 2.03 liters.
B) If X is the fill volume of a randomly selected two-liter bottle, find the value of x for which P(X > x) = 0.3228.

• A) Find the probability that a randomly selected two-liter bottle would contain between 1.95 and 2.03 liters.
• B) If X is the fill volume of a randomly selected two-liter bottle, find the value of x for which P(X > x) = 0.3228.

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Definitions:

Anxiety

A feeling of worry, nervousness, or unease about something with an uncertain outcome, often reflecting a concern about future events.

Factors

Variables or elements that contribute to producing a result or condition.

Assessment Report

A document that summarizes the findings, interpretations, and recommendations following a psychological evaluation.

Purpose

An individual's sense of determination or intention, guiding actions and giving meaning to personal or professional life.