 Chapter 7.7.1: State whether each of the following random variables is discrete or...
 Chapter 7.7.102: Working in a group or as a class, discuss the folly of the above st...
 Chapter 7.7.2: Classify each of the following random variables as either discrete ...
 Chapter 7.7.103: Suppose the following argument is made for threeegg quiches rather...
 Chapter 7.7.3: Starting at a particular time, each car entering an intersection is...
 Chapter 7.7.104: Suppose that a carton of one dozen eggs does happen to have exactly...
 Chapter 7.7.4: A point is randomly selected from the interior of a square, as pict...
 Chapter 7.7.105: Combine the observations from your group with those from the other ...
 Chapter 7.7.5: A point is randomly selected on the surface of a lake that has a ma...
 Chapter 7.7.6: A person stands at the corner marked A of the square pictured in Ex...
 Chapter 7.7.7: A box contains four slips of paper marked 1, 2, 3, and 4. Two slips...
 Chapter 7.7.8: Let x be the number of courses for which a randomly selected studen...
 Chapter 7.7.9: Let y denote the number of broken eggs in a randomly selected carto...
 Chapter 7.7.10: A restaurant has four bottles of a certain wine in stock. Unbeknown...
 Chapter 7.7.11: Airlines sometimes overbook flights. Suppose that for a plane with ...
 Chapter 7.7.12: Suppose that a computer manufacturer receives computer boards in lo...
 Chapter 7.7.13: Simulate the chance experiment described in Exercise 7.12 using fiv...
 Chapter 7.7.14: Of all airline flight requests received by a certain discount ticke...
 Chapter 7.7.15: Suppose that 20% of all homeowners in an earthquakeprone area of C...
 Chapter 7.7.16: A box contains five slips of paper, marked $1, $1, $1, $10, and $25...
 Chapter 7.7.17: Components coming off an assembly line are either free of defects (...
 Chapter 7.7.18: A contractor is required by a county planning department to submit ...
 Chapter 7.7.19: A library subscribes to two different weekly news magazines, each o...
 Chapter 7.7.20: Let x denote the lifetime (in thousands of hours) of a certain type...
 Chapter 7.7.21: A particular professor never dismisses class early. Let x denote th...
 Chapter 7.7.22: Refer to the probability distribution given in Exercise 7.21. Put t...
 Chapter 7.7.23: The article Modeling Sediment and Water Column Interactions for Hyd...
 Chapter 7.7.24: Let x denote the amount of gravel sold (in tons) during a randomly ...
 Chapter 7.7.25: San Francisco commuter must wait for a BART train. Suppose that the...
 Chapter 7.7.26: Referring to Exercise 7.25, let x and y be waiting times on two ind...
 Chapter 7.7.27: An express mail service charges a special rate for any package that...
 Chapter 7.7.28: The probability distribution of x, the number of defective tires on...
 Chapter 7.7.29: Exercise 7.9 introduced the following probability distribution for ...
 Chapter 7.7.30: Referring to Exercise 7.29, use the result of Part (a) along with t...
 Chapter 7.7.31: The mean value of x, the number of defective tires, whose distribut...
 Chapter 7.7.32: Exercise 7.8 gave the following probability distribution for x the ...
 Chapter 7.7.33: Suppose that for a given computer salesperson, the probability dist...
 Chapter 7.7.34: A local television station sells 15sec, 30sec, and 60sec adverti...
 Chapter 7.7.35: An author has written a book and submitted it to a publisher. The p...
 Chapter 7.7.36: A grocery store has an express line for customers purchasing at mos...
 Chapter 7.7.37: A gas station sells gasoline at the following prices (in cents per ...
 Chapter 7.7.38: A chemical supply company currently has in stock 100 lb of a certai...
 Chapter 7.7.39: Return to Exercise 7.38, and let y denote the amount of material (i...
 Chapter 7.7.40: An appliance dealer sells three different models of upright freezer...
 Chapter 7.7.41: To assemble a piece of furniture, a wood peg must be inserted into ...
 Chapter 7.7.42: A multiplechoice exam consists of 50 questions. Each question has ...
 Chapter 7.7.43: Consider a large ferry that can accommodate cars and buses. The tol...
 Chapter 7.7.44:
 Chapter 7.7.45: Consider a game in which a red die and a blue die are rolled. Let x...
 Chapter 7.7.46: Suppose that in a certain metropolitan area, 9 out of 10 households...
 Chapter 7.7.47: The Los Angeles Times (December 13, 1992) reported that what airlin...
 Chapter 7.7.48: Refer to Exercise 7.47, and suppose that 10 rather than 6 passenger...
 Chapter 7.7.49: Twentyfive percent of the customers entering a grocery store betwe...
 Chapter 7.7.50: A breeder of show dogs is interested in the number of female puppie...
 Chapter 7.7.51: The article FBI Says Fewer than 25 Failed Polygraph Test (San Luis ...
 Chapter 7.7.52: Industrial quality control programs often include inspection of inc...
 Chapter 7.7.53: An experiment was conducted to investigate whether a graphologist (...
 Chapter 7.7.54: Suppose that the probability is .1 that any given citrus tree will ...
 Chapter 7.7.55: Thirty percent of all automobiles undergoing an emissions inspectio...
 Chapter 7.7.56: You are to take a multiplechoice exam consisting of 100 questions ...
 Chapter 7.7.57: Suppose that 20% of the 10,000 signatures on a certain recall petit...
 Chapter 7.7.58: A coin is spun 25 times. Let x be the number of spins that result i...
 Chapter 7.7.59: A city ordinance requires that a smoke detector be installed in all...
 Chapter 7.7.60: Suppose that 90% of all registered California voters favor banning ...
 Chapter 7.7.61: Sophie is a dog that loves to play catch. Unfortunately, she isnt v...
 Chapter 7.7.62: Suppose that 5% of cereal boxes contain a prize and the other 95% c...
 Chapter 7.7.63: The article on polygraph testing of FBI agents referenced in Exerci...
 Chapter 7.7.64: Determine the following standard normal (z) curve areas: a. The are...
 Chapter 7.7.65: Determine each of the following areas under the standard normal (z)...
 Chapter 7.7.66: Let z denote a random variable that has a standard normal distribut...
 Chapter 7.7.67: Let z denote a random variable having a normal distribution with m ...
 Chapter 7.7.68: Let z denote a variable that has a standard normal distribution. De...
 Chapter 7.7.69: Determine the value z* that a. Separates the largest 3% of all z va...
 Chapter 7.7.70: Determine the value of z* such that a. z* and z* separate the middl...
 Chapter 7.7.71: Because P(z .44) .67, 67% of all z values are less than .44, and .4...
 Chapter 7.7.72: Consider the population of all 1gal cans of dusty rose paint manuf...
 Chapter 7.7.73: Consider babies born in the normal range of 37 43 weeks gestational...
 Chapter 7.7.74: A machine that cuts corks for wine bottles operates in such a way t...
 Chapter 7.7.75: Refer to Exercise 7.74. Suppose that there are two machines availab...
 Chapter 7.7.76: A gasoline tank for a certain car is designed to hold 15 gal of gas...
 Chapter 7.7.77: The time that it takes a randomly selected job applicant to perform...
 Chapter 7.7.78: A machine that produces ball bearings has initially been set so tha...
 Chapter 7.7.79: Suppose that the distribution of net typing rate in words per minut...
 Chapter 7.7.80: Consider the variable x time required for a college student to comp...
 Chapter 7.7.81: Ten measurements of the steam rate (in pounds per hour) of a distil...
 Chapter 7.7.82: The following normal probability plot was constructed using part of...
 Chapter 7.7.83: Consider the following 10 observations on the lifetime (in hours) f...
 Chapter 7.7.84: The paper The LoadLife Relationship for M50 Bearings with Silicon ...
 Chapter 7.7.85: The following observations are DDT concentrations in the blood of 2...
 Chapter 7.7.86: Consider the following sample of 25 observations on the diameter x ...
 Chapter 7.7.87: Example 7.31 examined rainfall data for MinneapolisSt. Paul. The sq...
 Chapter 7.7.88: The following data are a sample of survival times (days from diagno...
 Chapter 7.7.89: In a study of warp breakage during the weaving of fabric (Technomet...
 Chapter 7.7.90: The article The Distribution of Buying Frequency Rates (Journal of ...
 Chapter 7.7.91: The paper Temperature and the Northern Distributions of Wintering B...
 Chapter 7.7.92: The following figure appeared in the paper EDTAExtractable Copper, ...
 Chapter 7.7.93: Let x denote the IQ for an individual selected at random from a cer...
 Chapter 7.7.94: Suppose that the distribution of the number of items x produced by ...
 Chapter 7.7.95: The number of vehicles leaving a turnpike at a certain exit during ...
 Chapter 7.7.96: Let x have a binomial distribution with n 50 and p .6, so that m np...
 Chapter 7.7.97: Seventy percent of the bicycles sold by a certain store are mountai...
 Chapter 7.7.98: Suppose that 25% of the fire alarms in a large city are false alarm...
 Chapter 7.7.99: Suppose that 65% of all registered voters in a certain area favor a...
 Chapter 7.7.100: Flash bulbs manufactured by a certain company are sometimes defecti...
 Chapter 7.7.101: A company that manufactures mufflers for cars offers a lifetime war...
 Chapter 7.7.106: An article in the Los Angeles Times (December 8, 1991) reported tha...
 Chapter 7.7.107: A softdrink machine dispenses only regular Coke and Diet Coke. Six...
 Chapter 7.7.108: A mailorder computer software business has six telephone lines. Le...
 Chapter 7.7.109: Refer to the probability distribution of Exercise 7.104. a. Calcula...
 Chapter 7.7.110: A new batterys voltage may be acceptable (A) or unacceptable (U). A...
 Chapter 7.7.111: A pizza company advertises that it puts 0.5 lb of real mozzarella c...
 Chapter 7.7.112: Suppose that fuel efficiency for a particular model car under speci...
 Chapter 7.7.113: The amount of time spent by a statistical consultant with a client ...
 Chapter 7.7.114: The lifetime of a certain brand of battery is normally distributed ...
 Chapter 7.7.115: A machine producing vitamin E capsules operates so that the actual ...
 Chapter 7.7.116: Accurate labeling of packaged meat is difficult because of weight d...
 Chapter 7.7.117: The Wall Street Journal (February 15, 1972) reported that General E...
 Chapter 7.7.118: The longest run of Ss in the sequence SSFSSSSFFS has length 4, corr...
 Chapter 7.7.119: Two sisters, Allison and Teri, have agreed to meet between 1 and 6 ...
 Chapter 7.7.120: Four peoplea, b, c, and dare waiting to give blood. Of these four, ...
 Chapter 7.7.121: Bob and Lygia are going to play a series of Trivial Pursuit games. ...
 Chapter 7.7.122: Refer to Exercise 7.117, and let y be the number of games won by th...
 Chapter 7.7.123: A sporting goods store has a special sale on three brands of tennis...
 Chapter 7.7.124: Suppose that your statistics professor tells you that the scores on...
 Chapter 7.7.125: Suppose that the pH of soil samples taken from a certain geographic...
 Chapter 7.7.126: The lightbulbs used to provide exterior lighting for a large office...
 Chapter 7.7.127: Suppose that 16% of all drivers in a certain city are uninsured. Co...
 Chapter 7.7.128: Let x denote the duration of a randomly selected pregnancy (the tim...
Solutions for Chapter Chapter 7: Random Variables and Probability Distributions
Full solutions for Introduction to Statistics and Data Analysis (with CengageNOW Printed Access Card) (Available Titles CengageNOW)  3rd Edition
ISBN: 9780495118732
Solutions for Chapter Chapter 7: Random Variables and Probability Distributions
Get Full SolutionsIntroduction to Statistics and Data Analysis (with CengageNOW Printed Access Card) (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780495118732. Chapter Chapter 7: Random Variables and Probability Distributions includes 128 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 128 problems in chapter Chapter 7: Random Variables and Probability Distributions have been answered, more than 17987 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Introduction to Statistics and Data Analysis (with CengageNOW Printed Access Card) (Available Titles CengageNOW), edition: 3.

aerror (or arisk)
In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).

Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.

Average
See Arithmetic mean.

Backward elimination
A method of variable selection in regression that begins with all of the candidate regressor variables in the model and eliminates the insigniicant regressors one at a time until only signiicant regressors remain

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

Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.

Central limit theorem
The simplest form of the central limit theorem states that the sum of n independently distributed random variables will tend to be normally distributed as n becomes large. It is a necessary and suficient condition that none of the variances of the individual random variables are large in comparison to their sum. There are more general forms of the central theorem that allow ininite variances and correlated random variables, and there is a multivariate version of the theorem.

Combination.
A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.

Convolution
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.

Critical value(s)
The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.

Cumulative sum control chart (CUSUM)
A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t

Deming
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.

Discrete distribution
A probability distribution for a discrete random variable

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

Error propagation
An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.

Extra sum of squares method
A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.

Fisher’s least signiicant difference (LSD) method
A series of pairwise hypothesis tests of treatment means in an experiment to determine which means differ.

Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r

Gaussian distribution
Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications

Generating function
A function that is used to determine properties of the probability distribution of a random variable. See Momentgenerating function