Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
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Category > Management Posted 09 Oct 2017 My Price 9.00

Contaminated gun cartridges.

Contaminated gun cartridges. Refer to the investigation of contaminated gun cartridges at a weapons manufacturer, presented in Exercise 4.27 (p. 189). In a sample of 158 cartridges from a certain lot, 36 were found to be contaminated and 122 were “clean.” If you randomly select 5 of these 158 cartridges, what is the probability that all 5 will be “clean”?

Exercise 4.27

Contaminated gun cartridges. A weapons manufacturer uses a liquid propellant to produce gun cartridges. During the manufacturing process, the propellant can get mixed with another liquid to produce a contaminated cartridge. A University of South Florida statistician hired by the company to investigate the level of contamination in the stored cartridges found that 23% of the cartridges in a particular lot were contaminated. Suppose you randomly sample (without replacement) gun cartridges from this lot until you find a contaminated one. Let x be the number of cartridges sampled until a contaminated one is found. It is known that the probability distribution for x is given by the formula

a. Find p(1) . Interpret this result.

b. Find p(5) . Interpret this result.

c. Find P(x ≥ 2). Interpret this result.

 

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Maurice Tutor
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Status NEW Posted 09 Oct 2017 03:10 PM My Price 9.00

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