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:

Predators

Organisms that hunt and consume other organisms (prey) for sustenance, playing crucial roles in maintaining ecological balance by controlling prey populations.

Prey

Organisms that are hunted and eaten by other organisms (predators) as a means of surviving in the natural world.

Cats

Domesticated small carnivorous mammals known for their agility, keen senses, and various vocalizations.

Manifest Content

In psychoanalytic theory, the apparent and remembered content of a dream, as contrasted with its hidden or latent content.