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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
11.    Someone claims that a certain suspension contains at least seven particles per mL. You sample 1 mL of solution. Let X be the number of particles in the sample.
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a.   If the mean number of particles is exactly seven per mL (so that the claim is true, but just barely), what is P(X ≤ 1)?
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b.   Based on the answer to part (a), if the suspen- sion contains seven particles per mL, would one particle in a 1 mL sample be an unusually small number?
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c.   If you counted one particle in the sample, would this be convincing evidence that the claim is false? Explain.
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d.   If the mean number of particles is exactly 7 per mL, what is P(X ≤ 6)?
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e.   Based on the answer to part (d), if the suspen- sion contains seven particles per mL, would six particles in a 1 mL sample be an unusually small number?
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f.   If you counted six particles in the sample, would this be convincing evidence that the claim is false? Explain.
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