Questions from Applied Statistics


Q: Suppose that X has a Poisson distribution. Determine the following probabilities

Suppose that X has a Poisson distribution. Determine the following probabilities when the mean of X is 4 and repeat for a mean of 0.4: a. P(X = 0) b. P(X ≤ 2) c. P(X = 4) d. P(X = 8)

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Q: Inclusions are defects in poured metal caused by contaminants. The number

Inclusions are defects in poured metal caused by contaminants. The number of (large) inclusions in cast iron follows a Poisson distribution with a mean of 2.5 per cubic millimeter. Determine the follo...

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Q: A batch of 500 machined parts contains 10 that do not conform

A batch of 500 machined parts contains 10 that do not conform to customer requirements. The random variable is the number of parts in a sample of five parts that do not conform to customer requirement...

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Q: A batch of 500 machined parts contains 10 that do not conform

A batch of 500 machined parts contains 10 that do not conform to customer requirements. Parts are selected successively, without replacement, until a nonconforming part is obtained. The random variabl...

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Q: The random variable is the number of computer clock cycles required to

The random variable is the number of computer clock cycles required to complete a selected arithmetic calculation.

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Q: The random variable is the number of surface flaws in a large

The random variable is the number of surface flaws in a large coil of galvanized steel.

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Q: A group of 10,000 people are tested for a gene

A group of 10,000 people are tested for a gene called Ifi202 that has been found to increase the risk for lupus. The random variable is the number of people who carry the gene.

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Q: The number of mutations in a nucleotide sequence of length 40,

The number of mutations in a nucleotide sequence of length 40,000 in a DNA strand after exposure to radiation is measured. Each nucleotide may be mutated.

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Q: A healthcare provider schedules 30 minutes for each patient’s visit, but

A healthcare provider schedules 30 minutes for each patient’s visit, but some visits require extra time. The random variable is the number of patients treated in an eight-hour day.

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Q: Determine the cumulative distribution function for the random variable in Exercise 3

Determine the cumulative distribution function for the random variable in Exercise 3.1.9.

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