 5.51: Show that the following function satisfies the properties of a join...
 5.52: Determine the value of c that makes the function a joint probabilit...
 5.53: Show that the following function satisfies the properties of a join...
 5.54: Four electronic printers are selected from a large lot of damaged p...
 5.55: In the transmission of digital information, the probability that a ...
 5.56: A smallbusiness Web site contains 100 pages and 60%, 30%, and 10% ...
 5.57: A manufacturing company employs two devices to inspect output for q...
 5.58: Suppose the random variables X, Y, and Z have the following joint p...
 5.59: An engineering statistics class has 40 students and 60% are electri...
 5.510: An article in the Journal of Database Management [Experimental Stud...
 5.511: For the Transaction Processing Performance Councils benchmark in Ex...
 5.512: In the transmission of digital information, the probability that a ...
 5.513: Determine the value of c such that the function f(x, y) cxy for 0 x...
 5.514: Determine the value of c that makes the function f(x, y) c(x y) a j...
 5.515: Determine the value of c that makes the function f 1x, y2 cxy a joi...
 5.516: Determine the value of c that makes the function a joint probabilit...
 5.517: Determine the value of c that makes the function a joint probabilit...
 5.518: The conditional probability distribution of Y given X x is for y 0,...
 5.519: Two methods of measuring surface smoothness are used to evaluate a ...
 5.520: The time between surface finish problems in a galvanizing process i...
 5.521: A popular clothing manufacturer receives Internet orders via two di...
 5.522: The blade and the bearings are important parts of a lathe. The lath...
 5.523: Suppose the random variables X, Y, and Z have the joint probability...
 5.524: Suppose the random variables X, Y, and Z have the joint probability...
 5.525: Determine the value of c that makes fXYZ(x, y, z) c a joint probabi...
 5.526: The yield in pounds from a days production is normally distributed ...
 5.527: The weights of adobe bricks used for construction are normally dist...
 5.528: A manufacturer of electroluminescent lamps knows that the amount of...
 5.529: Determine the covariance and correlation for the following joint pr...
 5.530: Determine the covariance and correlation for the following joint pr...
 5.531: Determine the value for c and the covariance and correlation for th...
 5.532: Determine the covariance and correlation for the joint probability ...
 5.533: Determine the covariance and correlation for X1 and X2 in the joint...
 5.534: For the Transaction Processing Performance Councils benchmark in Ex...
 5.535: Determine the value for c and the covariance and correlation for th...
 5.536: Determine the value for c and the covariance and correlation for th...
 5.537: Determine the covariance and correlation for the joint probability ...
 5.538: Determine the covariance and correlation for the joint probability ...
 5.539: The joint probability distribution is x 1 01 y 11 0 fXY (x, y) Show...
 5.540: Suppose X and Y are independent continuous random variables. Show t...
 5.541: Suppose that the correlation between X and Y is . For constants a, ...
 5.542: Test results from an electronic circuit board indicate that 50% of ...
 5.543: Based on the number of voids, a ferrite slab is classified as eithe...
 5.544: A Web site uses ads to route visitors to one of four landing pages....
 5.545: Four electronic ovens that were dropped during shipment are inspect...
 5.546: Let X and Y represent concentration and viscosity of a chemical pro...
 5.547: Suppose X and Y have a bivariate normal distribution with X 0.04, Y...
 5.548: In an acidbase titration, a base or acid is gradually added to the...
 5.549: In the manufacture of electroluminescent lamps, several different l...
 5.550: Suppose that X and Y have a bivariate normal distribution with join...
 5.551: If X and Y have a bivariate normal distribution with 0, show that X...
 5.552: Show that the probability density function fXY (x, y; X, Y, X, Y, )...
 5.553: If X and Y have a bivariate normal distribution with joint probabil...
 5.554: X and Y are independent, normal random variables with E(X) 0, V(X )...
 5.555: X and Y are independent, normal random variables with Determine the...
 5.556: Suppose that the random variable X represents the length of a punch...
 5.557: A plastic casing for a magnetic disk is composed of two halves. The...
 5.558: Making handcrafted pottery generally takes two major steps: wheel t...
 5.559: In the manufacture of electroluminescent lamps, several different l...
 5.560: The width of a casing for a door is normally distributed with a mea...
 5.561: An article in Knee Surgery Sports Traumatology, Arthroscopy [Effect...
 5.562: Softdrink cans are filled by an automated filling machine and the ...
 5.563: The photoresist thickness in semiconductor manufacturing has a mean...
 5.564: Assume that the weights of individuals are independent and normally...
 5.565: Weights of parts are normally distributed with variance . Measureme...
 5.566: A Ushaped component is to be formed from the three parts A, B, and...
 5.567: Suppose that X is a random variable with probability distribution F...
 5.568: Let X be a binomial random variable with p 0.25 and n 3. Find the p...
 5.569: Suppose that X is a continuous random variable with probability dis...
 5.570: Suppose that X has a uniform probability distribution Show that the...
 5.571: A random variable X has the following probability distribution: (a)...
 5.572: The velocity of a particle in a gas is a random variable V with pro...
 5.573: Suppose that X has the probability distribution Find the probabilit...
 5.574: The random variable X has the probability distribution Find the pro...
 5.575: Show that the following function satisfies the properties of a join...
 5.576: The percentage of people given an antirheumatoid medication who suf...
 5.577: The backoff torque required to remove bolts in a steel plate is rat...
 5.578: To evaluate the technical support from a computer manufacturer, the...
 5.579: Determine the value of c such that the function f(x, y) cx2 y for 0...
 5.580: The joint distribution of the continuous random variables X, Y, and...
 5.581: Suppose that X and Y are independent, continuous uniform random var...
 5.582: The lifetimes of six major components in a copier are independent e...
 5.583: Contamination problems in semiconductor manufacturing can result in...
 5.584: The weight of adobe bricks for construction is normally distributed...
 5.585: The length and width of panels used for interior doors (in inches) ...
 5.586: The weight of a small candy is normally distributed with a mean of ...
 5.587: The time for an automated system in a warehouse to locate a part is...
 5.588: A mechanical assembly used in an automobile engine contains four ma...
 5.589: Suppose X and Y have a bivariate normal distribution with , , , , a...
 5.590: If 1.61x 121 y 22 1y 22 2 4 f fXY 1x, y2 1 1.2 exp e 1 0.72 3 1x 12...
 5.591: The permeability of a membrane used as a moisture barrier in a biol...
 5.592: The permeability of a membrane used as a moisture barrier in a biol...
 5.593: A small company is to decide what investments to use for cash gener...
 5.594: An order of 15 printers contains four with a graphicsenhancement f...
 5.595: A marketing company performed a risk analysis for a manufacturer of...
 5.596: Show that if X1, X2, p , Xp are independent, continuous random vari...
 5.597: Show that if X1, X2, p , Xp are independent random variables and Y ...
 5.598: Suppose that the joint probability function of the continuous rando...
 5.599: Suppose that the range of the continuous variables X and Y is 0 x a...
 5.5100: This exercise extends the hypergeometric distribution to multiple v...
Solutions for Chapter 5: Joint Probability Distributions
Full solutions for Applied Statistics and Probability for Engineers  5th Edition
ISBN: 9780470053041
Solutions for Chapter 5: Joint Probability Distributions
Get Full SolutionsChapter 5: Joint Probability Distributions includes 100 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 100 problems in chapter 5: Joint Probability Distributions have been answered, more than 24592 students have viewed full stepbystep solutions from this chapter. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9780470053041. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers, edition: 5.

Alternative hypothesis
In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test

Arithmetic mean
The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average

Bias
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.

Biased estimator
Unbiased estimator.

Bivariate distribution
The joint probability distribution of two random variables.

Box plot (or box and whisker plot)
A graphical display of data in which the box contains the middle 50% of the data (the interquartile range) with the median dividing it, and the whiskers extend to the smallest and largest values (or some deined lower and upper limits).

Center line
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.

Conditional variance.
The variance of the conditional probability distribution of a random variable.

Contingency table.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria

Continuity correction.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.

Correlation coeficient
A dimensionless measure of the linear association between two variables, usually lying in the interval from ?1 to +1, with zero indicating the absence of correlation (but not necessarily the independence of the two variables).

Correlation matrix
A square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the offdiagonal elements rij are the correlations between Xi and Xj .

Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.

Designed experiment
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment

Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.

Enumerative study
A study in which a sample from a population is used to make inference to the population. See Analytic study

Error sum of squares
In analysis of variance, this is the portion of total variability that is due to the random component in the data. It is usually based on replication of observations at certain treatment combinations in the experiment. It is sometimes called the residual sum of squares, although this is really a better term to use only when the sum of squares is based on the remnants of a modelitting process and not on replication.

Experiment
A series of tests in which changes are made to the system under study

Generator
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.

Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.