Questions from Applied Statistics

Q: Determine the mean and variance of the random variable in Exercise 4

Determine the mean and variance of the random variable in Exercise 4.1.1.

Q: Determine the mean and variance of the random variable in Exercise 4

Determine the mean and variance of the random variable in Exercise 4.1.8.

Q: Suppose that X has a lognormal distribution with parameters θ = 5

Suppose that X has a lognormal distribution with parameters θ = 5 and ω2 = 9. Determine the following: a. P(X < 13,300) b. Value for x such that P(X ≤ x) = 0.95 c. Mean and variance of X

Q: Suppose that X has a lognormal distribution with parameters θ = 2

Suppose that X has a lognormal distribution with parameters θ = 2 and ω2 = 4. Determine the following in parts (a) and (b): a. P(X < 500) b. Conditional probability that X < 1500 given that X > 1000 c...

Q: Rawmaterials are studied for contamination. Suppose that the number of particles

Rawmaterials are studied for contamination. Suppose that the number of particles of contamination per pound of material is a Poisson random variable with a mean of 0.01 particle per pound. a. What is...

Q: The length of time (in seconds) that a user views

The length of time (in seconds) that a user views a page on a Web site before moving to another page is a lognormal random variable with parameters θ = 0.5 and ω2 = 1. a. What is the probability that...

Q: Suppose that X has a lognormal distribution and that the mean and

Suppose that X has a lognormal distribution and that the mean and variance of X are 100 and 85,000, respectively. Determine the parameters θ and ω2 of the lognormal distribution. [Hint: Define u = exp...

Q: The lifetime of a semiconductor laser has a lognormal distribution, and

The lifetime of a semiconductor laser has a lognormal distribution, and it is known that the mean and standard deviation of lifetime are 10,000 and 20,000, respectively. a. Calculate the parameters of...

Q: An article in Health and Population: Perspectives and Issues (2000

An article in Health and Population: Perspectives and Issues (2000, Vol. 23, pp. 28–36) used the lognormal distribution to model blood pressure in humans. The mean systolic blood pressure (SBP) in mal...

Q: Suppose that the length of stay (in hours) at a

Suppose that the length of stay (in hours) at a hospital emergency department is modeled with a lognormal random variable X with θ = 1.5 and ω = 0.4. Determine the following in parts (a) and (b): a. M...