Questions from Engineering Statistics

Q: To avoid detection at customs, a traveler places 6 narcotic tablets

To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance. If the customs official selects 3 of the tablets at random...

Q: A service facility operates with two service lines. On a

A service facility operates with two service lines. On a randomly selected day, let X be the proportion of time that the first line is in use whereas Y is the proportion of time that the second line i...

Q: Let the number of phone calls received by a switchboard during a

Let the number of phone calls received by a switchboard during a 5-minute interval be a random variable X with probability function (a) Determine the probability that X equals 0, 1, 2, 3, 4, 5, and...

Q: Consider the random variables X and Y with joint density function

Consider the random variables X and Y with joint density function (a) Find the marginal distributions of X and Y . (b) Find P(X > 0.5,Y > 0.5).

Q: An industrial process manufactures items that can be classified as either defective

An industrial process manufactures items that can be classified as either defective or not defective. The probability that an item is defective is 0.1. An experiment is conducted in which 5 items are...

Q: Consider the following joint probability density function of the random variables X

Consider the following joint probability density function of the random variables X and Y: (a) Find the marginal density functions of X and Y. (b) Are X and Y independent? (c) Find P(X > 2).

Q: The life span in hours of an electrical component is a random

The life span in hours of an electrical component is a random variable with cumulative distribution function (a) Determine its probability density function. (b) Determine the probability that the li...

Q: The total number of hours, measured in units of 100 hours

The total number of hours, measured in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a continuous random variable X that has the density function Find the prob...

Q: Pairs of pants are being produced by a particular outlet facility.

Pairs of pants are being produced by a particular outlet facility. The pants are checked by a group of 10 workers. The workers inspect pairs of pants taken randomly from the production line. Each insp...

Q: The shelf life of a product is a random variable that is

The shelf life of a product is a random variable that is related to consumer acceptance. It turns out that the shelf life Y in days of a certain type of bakery product has a density function What fr...