 16.1: 1. Expected value. Find the expected value of each random variable:
 16.2: 2. Expected value. Find the expected value of each random variable:
 16.3: 3. Pick a card, any card. You draw a card from a deck. Ifyou get a ...
 16.4: 4. You bet! You roll a die. If it comes up a 6, you win $100.If not...
 16.5: 5. Kids. A couple plans to have children until they get agirl, but ...
 16.6: 6. Carnival. A carnival game offers a $100 cash prize foranyone who...
 16.7: 7. Software. A small software company bids on two contracts. It ant...
 16.8: 8. Racehorse. A man buys a racehorse for $20,000 and enters it in t...
 16.9: 9. Variation 1. Find the standard deviations of the random variable...
 16.10: 10. Variation 2. Find the standard deviations of the random variabl...
 16.11: 11. Pick another card. Find the standard deviation of the amount yo...
 16.12: 12. The die. Find the standard deviation of the amount you might wi...
 16.13: 13. Kids again. Find the standard deviation of the number of childr...
 16.14: 14. Darts. Find the standard deviation of your winnings throwing da...
 16.15: 15. Repairs. The probability model below describes the number of re...
 16.16: 16. Red lights. A commuter must pass through five traffic lights on...
 16.17: 17. Defects. A consumer organization inspecting new cars found that...
 16.18: 18. Insurance. An insurance policy costs $100 and will paypolicyhol...
 16.19: 19. Cancelled flights. Mary is deciding whether to bookthe cheaper ...
 16.20: 20. Day trading. An option to buy a stock is priced at $200.If the ...
 16.21: 21. Contest. You play two games against the same opponent.The proba...
 16.22: 22. Contracts. Your company bids for two contracts. Youbelieve the ...
 16.23: 23. Batteries. In a group of 10 batteries, 3 are dead. Youchoose 2 ...
 16.24: 24. Kittens. In a litter of seven kittens, three are female.You pic...
 16.25: 25. Random variables. Given independent random variables with means...
 16.26: 26. Random variables. Given independent random variables with means...
 16.27: 27. Random variables. Given independent random variables with means...
 16.28: 28. Random variables. Given independent random variables with means...
 16.29: 29. Eggs. A grocery supplier believes that in a dozen eggs, the mea...
 16.30: 30. Garden. A company selling vegetable seeds in packetsof 20 estim...
 16.31: 31. Repair calls. Find the mean and standard deviation of the numbe...
 16.32: 32. Stop! Find the mean and standard deviation of the number of red...
 16.33: 33. Tickets. A delivery companys trucks occasionally getparking tic...
 16.34: 34. Donations. Organizers of a televised fundraiser knowfrom past e...
 16.35: 35. Fire! An insurance company estimates that it shouldmake an annu...
 16.36: 36. Casino. Acasino knows that people play the slot machinesin hope...
 16.37: 37. Cereal. The amount of cereal that can be poured into asmall bow...
 16.38: 38. Pets. The American Veterinary Association claims thatthe annual...
 16.39: 39. More cereal. In Exercise 37 we poured a large and asmall bowl o...
 16.40: 40. More pets. Youre thinking about getting two dogs anda cat. Assu...
 16.41: 41. Medley. In the medley relay event, four swimmersswim 100 yards,...
 16.42: 42. Bikes. Bicycles arrive at a bike shop in boxes. Beforethey can ...
 16.43: 43. Farmers market. A farmer has 100 lb of apples and50 lb of potat...
 16.44: 44. Bike sale. The bicycle shop in Exercise 42 will be offering2 sp...
 16.45: 45. Coffee and doughnuts. At a certain coffee shop,all the customer...
 16.46: 46. Weightlifting. The Atlas BodyBuilding Company(ABC) sells starte...
Solutions for Chapter 16: Random Variables
Full solutions for Stats: Modeling The World  3rd Edition
ISBN: 9780131359581
Solutions for Chapter 16: Random Variables
Get Full SolutionsChapter 16: Random Variables includes 46 full stepbystep solutions. Since 46 problems in chapter 16: Random Variables have been answered, more than 41159 students have viewed full stepbystep solutions from this chapter. Stats: Modeling The World was written by and is associated to the ISBN: 9780131359581. This textbook survival guide was created for the textbook: Stats: Modeling The World , edition: 3. This expansive textbook survival guide covers the following chapters and their solutions.

Block
In experimental design, a group of experimental units or material that is relatively homogeneous. The purpose of dividing experimental units into blocks is to produce an experimental design wherein variability within blocks is smaller than variability between blocks. This allows the factors of interest to be compared in an environment that has less variability than in an unblocked experiment.

C chart
An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defectsperunit or U chart.

Chance cause
The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.

Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.

Conidence interval
If it is possible to write a probability statement of the form PL U ( ) ? ? ? ? = ?1 where L and U are functions of only the sample data and ? is a parameter, then the interval between L and U is called a conidence interval (or a 100 1( )% ? ? conidence interval). The interpretation is that a statement that the parameter ? lies in this interval will be true 100 1( )% ? ? of the times that such a statement is made

Consistent estimator
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.

Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.

Correction factor
A term used for the quantity ( / )( ) 1 1 2 n xi i n ? = that is subtracted from xi i n 2 ? =1 to give the corrected sum of squares deined as (/ ) ( ) 1 1 2 n xx i x i n ? = i ? . The correction factor can also be written as nx 2 .

Covariance
A measure of association between two random variables obtained as the expected value of the product of the two random variables around their means; that is, Cov(X Y, ) [( )( )] =? ? E X Y ? ? X Y .

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

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

Dispersion
The amount of variability exhibited by data

Distribution free method(s)
Any method of inference (hypothesis testing or conidence interval construction) that does not depend on the form of the underlying distribution of the observations. Sometimes called nonparametric method(s).

Distribution function
Another name for a cumulative distribution function.

Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.

Event
A subset of a sample space.

Ftest
Any test of signiicance involving the F distribution. The most common Ftests are (1) testing hypotheses about the variances or standard deviations of two independent normal distributions, (2) testing hypotheses about treatment means or variance components in the analysis of variance, and (3) testing signiicance of regression or tests on subsets of parameters in a regression model.

Fractional factorial experiment
A type of factorial experiment in which not all possible treatment combinations are run. This is usually done to reduce the size of an experiment with several factors.

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

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.