 5.1CT: Which among the following numbers could be the probability of an ev...
 5.1: Which among the following numbers could be the probability of an ev...
 5.1RE: (a) Which among the following numbers could be the probability of a...
 5.2: Compute the probability of the event E = {Jason}.
 5.2CT: Let the sample space be S = {Chris, Adam, Elaine, Brian, Jason}. Su...
 5.3: Compute the probability of the event E = {Chris or Elaine}
 5.2RE: Let the sample space be S = {red, green, blue, orange, yellow}. Sup...
 5.4: Suppose that E = {Adam}. Compute the probability of Ec .
 5.3CT: Let the sample space be S = {Chris, Adam, Elaine, Brian, Jason}. Su...
 5.5: Suppose that P(E) = 0.37 and P(F) = 0.22. (a) Find P(E or F) if E a...
 5.3RE: Let the sample space be S = {red, green, blue, orange, yellow}. Sup...
 5.6: Suppose that P(E) = 0.15, P(F) = 0.45, and P(F E) = 0.70. (a) What ...
 5.4CT: Let the sample space be S = {Chris, Adam, Elaine, Brian, Jason}. Su...
 5.7: Determine the value of each of the following: (a) 8! (b) 12C6 (c) 14P8
 5.4RE: Let the sample space be S = {red, green, blue, orange, yellow}. Sup...
 5.8: Craps is a dice game in which two fair dice are cast. If the roller...
 5.5CT: Suppose that P(E) = 0.37 and P(F) = 0.22.(a) Find P(E or F) if E an...
 5.9: The National Fire Protection Association reports that 32% of fires ...
 5.5RE: Let the sample space be S = {red, green, blue, orange, yellow}. Sup...
 5.10: The following probability model shows the distribution of the most...
 5.6CT: Suppose that P(E) = 0.15, P(F) = 0.45, and P(FE) = 0.70.(a) What i...
 5.11: The following represent the results of a survey in which individual...
 5.6RE: Suppose that P(E) = 0.76, P(F) = 0.45, and P(E and F) = 0.32. What ...
 5.12: During the 2010 season, the Minnesota Twins won 58% of their games....
 5.7CT: Determine the value of each of the following:(a) 8!________________...
 5.13: You just received a shipment of 10 DVD players. One DVD player is d...
 5.7RE: Suppose that P(E) = 0.36, P(F) = 0.12, and E and F are mutually exc...
 5.14: In the game of Jumble, the letters of a word are scrambled. The pla...
 5.8CT: Craps is a dice game in which two fair dice are cast. If the roller...
 5.15: The U.S. Senate Appropriations Committee has 29 members and a subco...
 5.8RE: Suppose that events E and F are independent. In addition, P(E) = 0....
 5.16: The U.S. Senate Appropriations Committee has 29 members and a subco...
 5.9CT: The National Fire Protection Association reports that 32% of fires ...
 5.17: A local area network requires eight characters for a password. The ...
 5.9RE: Suppose that P(E) = 0.8, P(F) = 0.5, and P(E and F) = 0.24. Are eve...
 5.18: In 1 second, a 3GHz computer processor can generate about 3 millio...
 5.10CT: The following probability model shows the distribution of the most...
 5.19: A survey distributed at the 28th Lunar and Planetary Science Confer...
 5.10RE: Suppose that P(E) = 0.59 and P(FE) = 0.45. What is P(E and F)?
 5.20: How many distinguishable DNA sequences can be formed using two As, ...
 5.11CT: The following represent the results of a survey in which individual...
 5.21: A student is taking a 40question multiplechoice test. Each questi...
 5.11RE: Suppose that P(E and F ) = 0.35 and P(F ) = 0.7. What is P(EF)?
 5.12CT: During the 2010 season, the Minnesota Twins won 58% of their games....
 5.12RE: Determine the value of each of the following:(a) 7!________________...
 5.13CT: You just received a shipment of 10 DVD players. One DVD player is d...
 5.13RE: Roulette In the game of roulette, a wheel consists of 38 slots, num...
 5.14CT: In the game of Jumble, the letters of a word are scrambled. The pla...
 5.14RE: Traffic Fatalities In 2009, there were 33,722 traffic fatalities in...
 5.15CT: The U.S. Senate Appropriations Committee has 29 members and a subco...
 5.15RE: Long Life? In a poll conducted by Genworth Financial, a random samp...
 5.16CT: In Pennsylvania’s Cash 5 lottery, balls are numbered 1 to 43. Five ...
 5.16RE: Gestation Period versus Weight The following data represent the bir...
 5.17CT: A local area network requires eight characters for a password. The ...
 5.17RE: Who Do You Trust? According to the National Constitution Center, 18...
 5.18CT: In 1 second, a 3GHz computer processor can generate about 3 millio...
 5.18RE: Pick 3 For the Illinois Lottery’s PICK 3 game, a player must match ...
 5.19CT: A survey distributed at the 28th Lunar and Planetary Science Confer...
 5.19RE: Pick 4 The Illinois Lottery’s PICK 4 game is similar to PICK 3, exc...
 5.20CT: How many distinguishable DNA sequences can be formed using two As, ...
 5.20RE: Drawing Cards Suppose that you draw 3 cards without replacement fro...
 5.21CT: A student is taking a 40question multiplechoice test. Each questi...
 5.21RE: Forming License Plates A license plate is designed so that the firs...
 5.22RE: Choosing a Seat If four students enter a classroom that has 10 vaca...
 5.23RE: Arranging Flags How many different vertical arrangements are there ...
 5.24RE: Simple Random Sampling How many different simple random samples of ...
 5.25RE: Arizona’s Pick 5 In one of Arizona’s lotteries, balls are numbered ...
 5.26RE: Packaging Error Because of a mistake in packaging, a case of 12 bot...
 5.27RE: Simulation Use a graphing calculator or statistical software to sim...
 5.28RE: Explain what is meant by a subjective probability. List some exampl...
 5.29RE: Playing FiveCard Stud In the game of fivecard stud, one card is d...
 5.30RE: Mark McGwire During the 1998 major league baseball season, Mark McG...
 5.31RE: Lottery Luck In 1996, a New York couple won $2.5 million in the sta...
 5.32RE: Coffee Sales The following data represent the number of cases of co...
Solutions for Chapter 5: Probability
Full solutions for Statistics: Informed Decisions Using Data  4th Edition
ISBN: 9780321757272
Solutions for Chapter 5: Probability
Get Full SolutionsSince 74 problems in chapter 5: Probability have been answered, more than 153004 students have viewed full stepbystep solutions from this chapter. Chapter 5: Probability includes 74 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Statistics: Informed Decisions Using Data was written by and is associated to the ISBN: 9780321757272. This textbook survival guide was created for the textbook: Statistics: Informed Decisions Using Data , edition: 4.

Alias
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.

Bayes’ theorem
An equation for a conditional probability such as PA B (  ) in terms of the reverse conditional probability PB A (  ).

Causal variable
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable

Causeandeffect diagram
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.

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.

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.

Chisquare test
Any test of signiicance based on the chisquare distribution. The most common chisquare tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data

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

Components of variance
The individual components of the total variance that are attributable to speciic sources. This usually refers to the individual variance components arising from a random or mixed model analysis of variance.

Confounding
When a factorial experiment is run in blocks and the blocks are too small to contain a complete replicate of the experiment, one can run a fraction of the replicate in each block, but this results in losing information on some effects. These effects are linked with or confounded with the blocks. In general, when two factors are varied such that their individual effects cannot be determined separately, their effects are said to be confounded.

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).

Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.

Discrete random variable
A random variable with a inite (or countably ininite) range.

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

Distribution function
Another name for a cumulative distribution function.

Exponential random variable
A series of tests in which changes are made to the system under study

Forward selection
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.

Fraction defective control chart
See P chart

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.

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.