Questions from Applied Statistics

Q: The number of (large) inclusions in cast iron follows a

The number of (large) inclusions in cast iron follows a Poisson distribution with a mean of 2.5 per cubic millimeter. Approximate the following probabilities: a. Determine the mean and standard deviat...

Q: Suppose that X is a Poisson random variable with λ = 6

Suppose that X is a Poisson random variable with λ = 6. a. Compute the exact probability that X is less than four. b. Approximate the probability that X is less than four and compare to the result in...

Q: There were 49.7 million people with some type of long

There were 49.7 million people with some type of long-lasting condition or disability living in the United States in 2000. This represented 19.3 percent of the majority of civilians aged five and over...

Q: The manufacturing of semiconductor chips produces 2% defective chips. Assume

The manufacturing of semiconductor chips produces 2% defective chips. Assume that the chips are independent and that a lot contains 1000 chips. Approximate the following probabilities: a. More than 25...

Q: Hits to a high-volumeWeb site are assumed to follow a

Hits to a high-volumeWeb site are assumed to follow a Poisson distribution with a mean of 10,000 per day. Approximate each of the following: a. Probability of more than 20,000 hits in a day. b. Probab...

Q: Phoenix water is provided to approximately 1.4 million people who

Phoenix water is provided to approximately 1.4 million people who are served through more than 362,000 accounts (http://phoenix.gov/WATER/wtrfacts.html). All accounts are metered and billed monthly. T...

Q: An article in Atmospheric Chemistry and Physics [“Relationship Between Particulate Matter

An article in Atmospheric Chemistry and Physics [“Relationship Between Particulate Matter and Childhood Asthma—Basis of a FutureWarning System for Central Phoenix” (2012, Vol. 12, pp. 2479–2490)] link...

Q: Use integration by parts to show that Γ(r) =

Use integration by parts to show that Γ(r) = (r −1) Γ(r − 1).

Q: An acticle in Biometrics [“Integrative Analysis of Transcriptomic and Proteomic Data

An acticle in Biometrics [“Integrative Analysis of Transcriptomic and Proteomic Data of Desulfovibrio Vulgaris: A Nonlinear Model to Predict Abundance of Undetected Proteins” (2009, Vol. 25(15), pp. 1...

Q: If X is a Weibull random variable with β = 1 and

If X is a Weibull random variable with β = 1 and δ = 1000, what is another name for the distribution of X, and what is the mean of X?