TABLE 6-3 a Company Producing Orange Juice Buys All Its Oranges from Oranges

question 104

Short Answer

TABLE 6-3
A company producing orange juice buys all its oranges from a large orange orchard. The amount of juice that can be squeezed from each of these oranges is approximately normally distributed with a mean of 4.7 ounces and some unknown standard deviation. The company's production manager knows that the probability is 30.85% that a randomly selected orange will contain less than 4.5 ounces of juice. Also the probability is 10.56% that a randomly selected orange will contain more than 5.2 ounces of juice. Answer the following questions without the help of a calculator, statistical software, or statistical table.
-Referring to Table 6-3, what is the probability that a randomly selected orange will contain between 4.2 and 4.9 ounces of juice?

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Definitions:

PYY

A hormone, short for Peptide YY, produced in the gut in response to eating and is associated with reducing appetite and inhibiting food intake.

Leptin

A hormone produced by fat cells that is involved in the regulation of appetite and metabolism, often affecting feelings of satiety and hunger.

Stomach Contractions

Involuntary movements of the stomach muscles that mix and propel contents through the gastrointestinal tract.

Hypothalamus

This part of the brain, positioned under the thalamus, serves to regulate the autonomic nervous system and the actions of the pituitary, playing a significant role in the control of body temperature, the sensations of thirst and hunger, and the overall maintenance of the body’s equilibrium.