Questions from Applied Statistics

Q: Thewaiting time for service at a hospital emergency department (in hours

Thewaiting time for service at a hospital emergency department (in hours) follows a distribution with probability density function f (x) = 0.5 exp(−0.5x) for 0 < x.Determine the following: a. P(X < 0....

Q: The conditional probability distribution of Y given X = x is fY

The conditional probability distribution of Y given X = x is fY|x(y) = xe−xy for y > 0, and the marginal probability distribution of X is a continuous uniform distribution over 0 to 10. a. Graph fY|x(...

Q: Given the probability density function f (x) = 0.

Given the probability density function f (x) = 0.013x2e−0.01x/Γ(3), determine the mean and variance of the distribution.

Q: Consider the joint distribution in Exercise 5.1.1.

Consider the joint distribution in Exercise 5.1.1. Determine the following: a. Conditional probability distribution of Y given that X = 1.5 b. Conditional probability distribution of X that Y = 2 c. E...

Q: Consider the joint distribution in Exercise 5.1.4.

Consider the joint distribution in Exercise 5.1.4. Determine the following: a. fY | 3(y) b. E(Y | X = 3) c. V(Y | X = 3)

Q: A manufacturer of electroluminescent lamps knows that the amount of luminescent ink

A manufacturer of electroluminescent lamps knows that the amount of luminescent ink deposited on one of its products is normally distributed with a mean of 1.2 grams and a standard deviation of 0.03 g...

Q: The lengths of the minor and major axes are used to summarize

The lengths of the minor and major axes are used to summarize dust particles that are approximately elliptical in shape. Let X and Y denote the lengths of theminor andmajor axes (inmicrometers), respe...

Q: An article in Health Economics [“Estimation of the TransitionMatrix of a

An article in Health Economics [“Estimation of the TransitionMatrix of a Discrete-TimeMarkov Chain” (2002, Vol. 11, pp. 33–42)] considered the cha...

Q: An article in Clinical Infectious Diseases [“Strengthening the Supply of Routinely

An article in Clinical Infectious Diseases [“Strengthening the Supply of Routinely Administered Vaccines in the United States: Problems and Proposed Solutions” (2006, Vol. 42(3), pp. S97–S103)] report...

Q: The systolic and diastolic blood pressure values (mm Hg) are

The systolic and diastolic blood pressure values (mm Hg) are the pressures when the heart muscle contracts and relaxes (denoted as Y and X, respectively). Over a collection of individuals, the distrib...