Questions from Applied Statistics

Q: Determine the covariance and correlation for the lengths of the minor and

Determine the covariance and correlation for the lengths of the minor and major axes in Exercise 5.2.5.

Q: Based on the number of voids, a ferrite slab is classified

Based on the number of voids, a ferrite slab is classified as either high, medium, or low. Historically, 5% of the slabs are classified as high, 85% as medium, and 10% as low. Agroup of 20 slabs that...

Q: A Web site uses ads to route visitors to one of four

A Web site uses ads to route visitors to one of four landing pages. The probabilities for each landing page are equal. Consider 20 independent visitors and let the random variablesW, X, Y, and Z denot...

Q: Suppose that X and Y have a bivariate normal distribution with σX

Suppose that X and Y have a bivariate normal distribution with σX = 0.04, σY = 0.08, μX = 3.00, μY = 7.70, and ρ = 0. Determine the following: a. P(2.95 < X < 3.05) b. P(7.60 < Y < 7.80) c. P(2.95 <...

Q: Let X and Y represent the concentration and viscosity of a chemical

Let X and Y represent the concentration and viscosity of a chemical product. Suppose that X and Y have a bivariate normal distribution with σX = 4, σY = 1, μX = 2, and μY = 1. Draw a rough contour plo...

Q: In the manufacture of electroluminescent lamps, several different layers of ink

In the manufacture of electroluminescent lamps, several different layers of ink are deposited onto a plastic substrate. The thickness of these layers is critical if specifications regarding the final...

Q: In an acid-base titration, a base or acid is

In an acid-base titration, a base or acid is gradually added to the other until they have completely neutralized each other. Let X and Y denote the milliliters of acid and base needed for equivalence,...

Q: If X and Y have a bivariate normal distribution with ρ =

If X and Y have a bivariate normal distribution with ρ = 0, show that X and Y are independent.

Q: Patients given drug therapy either improve, remain the same, or

Patients given drug therapy either improve, remain the same, or degrade with probabilities 0.5, 0.4, and 0.1, respectively. Suppose that 20 patients (assumed to be independent) are given the therapy....

Q: In an accelerator center, an experiment needs a 1.41

In an accelerator center, an experiment needs a 1.41-cmthick aluminum cylinder (http://puhep1.princeton.edu/mumu/ target/Solenoid_Coil.pdf ). Suppose that the thickness of a cylinder has a normal dist...