Which of the Following Statements Are True?
A) the P $Y = h ( X ) = \sin ^ { - 1 } ( \sqrt { X / n } )$

question 34

Multiple Choice

Which of the following statements are true?

• A) The p control chart for the fraction of items not conforming to specifications is based on the binomial probability distribution.
• B) The c control chart for the number of defectives is based on the Poisson probability distribution.
• C) If the random variable X has a binomial distribution with parameters n and p, then when p is small the transformation \(Y = h ( X ) = \sin ^ { - 1 } ( \sqrt { X / n } )\)
• Is recommended and that the points \(y _ { 1 } , y _ { 2 } , \ldots , y _ { n }\)
• Should be used to construct the p chart.
• D) If the random variable X has a Poisson distribution with parameter \(\lambda ,\)
• And \(\lambda\)
• Is small, then the transformation \(Y = h ( X ) = 2 \sqrt { X }\)
• Is recommended and that the points \(y _ { 1 } , y _ { 2 } , \ldots \ldots\)
• Should be used to construct the c chart.
• E) All of the above statements are correct

---

Definitions:

Continental Shelf

A submerged extension of a continent, ranging from the shoreline to a drop-off point known as the shelf break.

Hydrothermal Vents

Openings on the seafloor that emit hot, mineral-rich water, supporting unique ecosystems independent of sunlight.

Giant Worm Tubes

Large tubular structures created by certain species of marine worms, which serve as their protective habitats on the ocean floor.

H2S

hydrogen sulfide, a toxic, flammable gas with a characteristic odor of rotten eggs, found in many natural and man-made environments.