Questions from Applied Statistics

Q: Suppose that X has a Weibull distribution with β = 0.

Suppose that X has a Weibull distribution with β = 0.2 and δ = 100 hours. Determine the following: a. P(X < 10,000) b. P(X > 5000) c. E(X) and V(X)

Q: The life (in hours) of a magnetic resonance imaging machine

The life (in hours) of a magnetic resonance imaging machine (MRI) is modeled by a Weibull distribution with parameters β = 2 and δ = 500 hours. Determine the following: a. Mean life of the MRI b. Vari...

Q: Assume that the life of a roller bearing follows a Weibull distribution

Assume that the life of a roller bearing follows a Weibull distribution with parameters β = 2 and δ = 10,000 hours. a. Determine the probability that a bearing lasts at least 8000 hours. b. Determine...

Q: An article in the Journal of Geophysical Research [“Spatial and Temporal

An article in the Journal of Geophysical Research [“Spatial and Temporal Distributions of U.S. Winds and Wind Power at 80 m Derived from Measurements” (2003, Vol. 108)] considered wind speed at statio...

Q: An article in the Journal of the Indian Geophysical Union titled “

An article in the Journal of the Indian Geophysical Union titled “Weibull and Gamma Distributions for Wave Parameter Predictions” (2005, Vol. 9, pp. 55–64) described the use of the Weibull distributio...

Q: Suppose that the lifetime of a component (in hours) is

Suppose that the lifetime of a component (in hours) is modeled with a Weibull distribution with β = 2 and δ = 4000. Determine the following in parts (a) and (b): a. P(X > 5000) b. P(X > 8000 | X > 300...

Q: Suppose that X has a Weibull distribution with β = 2 and

Suppose that X has a Weibull distribution with β = 2 and δ = 8.6. Determine the following: a. P(X < 10) b. P(X > 9) c. P(8 < X < 11) d. Value for x such that P(X > x) = 0.9

Q: An article in Proceedings of the 33rd International ACM SIGIR Conference on

An article in Proceedings of the 33rd International ACM SIGIR Conference on Research and Development in Information Retrieval [“Understanding Web Browsing Behaviors Through Weibull Analysis of Dwell T...

Q: The geometric random variable X has probability distribution f (x)

The geometric random variable X has probability distribution f (x) = (1 − p)x−1p, x = 1, 2,… a. Show that the moment-generating function is b. U...

Q: An article in Sensors and Actuators A: Physical [“Characterization and

An article in Sensors and Actuators A: Physical [“Characterization and Simulation of Avalanche PhotoDiodes for Next-Generation Colliders” (2011, Vol. 172(1), pp. 181–188)] considered an avalanche phot...