Questions from Applied Statistics

Q: An article in Journal of Hydrology [“Use of a Lognormal Distribution

An article in Journal of Hydrology [“Use of a Lognormal Distribution Model for Estimating Soil Water Retention Curves from Particle-Size Distribution Data” (2006, Vol. 323(1), pp. 325–334)] considered...

Q: An article in AppliedMathematics and Computation [“Confidence Intervals for Steady State

An article in AppliedMathematics and Computation [“Confidence Intervals for Steady State Availability of a System with Exponential Operating Time and Lognormal Repair Time” (2003, Vol. 137(2), pp. 499...

Q: An article in Chemosphere [“Statistical Evaluations Reflecting the Skewness in the

An article in Chemosphere [“Statistical Evaluations Reflecting the Skewness in the Distribution of TCDD Levels in Human Adipose Tissue” (1987, Vol. 16(8), pp. 2135–2140)] concluded that the levels of...

Q: Determine the value of c that makes the function f (x

Determine the value of c that makes the function f (x, y) = c(x + y) a joint probability density function over the range 0 < x < 3 and x < y < x + 2. Determine the following: a. P(X < 1, Y < 2) b. P(...

Q: Consider the joint distribution in Exercise 5.1.10.

Consider the joint distribution in Exercise 5.1.10. Determine the following: a. fY | 2(y) b. E(Y | X = 2) c. V(Y | X = 2) d. Are X and Y independent?

Q: The time between arrivals of customers at an automatic teller machine is

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 5 minutes. a. What is the probability that more than three customers arrive in 10...

Q: Determine the cumulative distribution function for the random variable in Exercise 4

Determine the cumulative distribution function for the random variable in Exercise 4.1.10. Use the cumulative distribution function to determine the probability that the random variable is less than 5...

Q: Determine the cumulative distribution function for the random variable in Exercise 4

Determine the cumulative distribution function for the random variable in Exercise 4.1.9. Use the cumulative distribution function to determine the probability that the waiting time is less than 1 hou...

Q: Determine the cumulative distribution function for the random variable in Exercise 4

Determine the cumulative distribution function for the random variable in Exercise 4.1.8. Use the cumulative distribution function to determine the probability that 400 < X < 500.

Q: Suppose that the cumulative distribution function of the random variable X is

Suppose that the cumulative distribution function of the random variable X is Determine the following: a. P(X b. P(X > 1.5) c. P(X d. P(X > 6)