Describe the specified event in words. -When a quarter is tossed four times, 16 outcomes are possible. \[\begin{array} { l l l l } \text { НHHH } & \text { HНHT } & \text { HHTH } & \text { HHTT } \\ \text { HTHH } & \text { HTHT } & \text { HTTH } & \text { HTTT } \\ \text { THHH } & \text { THHT } & \text { THTH } & \text { THTT } \\ \text { TTHH } & \text { TTHT } & \text { TTTH } & \text { TTTT } \end{array}\] Here, for example, HTTH represents the outcome that the first toss is heads, the next two tosses are tails, and the fourth toss is heads. The event A is defined as follows. A = event the first two tosses are heads Describe the event (not A) in words.

A) The event the last two tosses are heads in words. B) The event the first two tosses are not both heads C) The event that exactly one of the first two tosses is tails D) The event the first two tosses are tails A) The event the last two tosses are heads in words. B) The event the first two tosses are not both heads C) The event that exactly one of the first two tosses is tails D) The event the first two tosses are tails

Describe the specified event in words. -The number of hours needed by sixth grade students to complete a research project was recorded with the following results. \[\begin{array} { c c } \text { Hours } & \text { Number of students (f) } \\ \hline 4 & 15 \\ 5 & 11 \\ 6 & 19 \\ 7 & 6 \\ 8 & 9 \\ 9 & 16 \\ 10 & 2 \end{array}\] A student is selected at random. The event A is defined as follows. A = the event the student took between 5 and 9 hours inclusive B = the event the student took at least 6 hours Describe the event (A & B) in words.

A) The event the student took between 6 and 9 hours inclusive B) The event the student took between 5 and 6 hours inclusive C) The event the student at least 5 hours D) The event the student took more than 6 hours and less than 9 hours A) The event the student took between 6 and 9 hours inclusive B) The event the student took between 5 and 6 hours inclusive C) The event the student at least 5 hours D) The event the student took more than 6 hours and less than 9 hours

Use the general multiplication rule to find the indicated probability. -The table below describes the smoking habits of a group of asthma sufferers. $\begin{array}{r|cccc} & &{\text { Light Heavy }} \\ & \text { Nonsmoker } & \text { smoker } & \text { smoker } & \text { Total } \\ \hline \text { Men } & 347 & 50 & 39 & 436 \\ \text { Women } & 354 & 34 & 46 & 434 \\ \text { Total } & 701 & 84 & 85 & 870 \end{array}$ If two different people are randomly selected from the 870 subjects, find the probability that they are both heavy smokers.

A) 0.002010 B) 0.0001384 C) 0.009444 D) 0.009546 A) 0.002010 B) 0.0001384 C) 0.009444 D) 0.009546

Describe the specified event in words. -When a quarter is tossed four times, 16 outcomes are possible. $\begin{array} { l l l l } \text { HHHH } & \text { HHHT } & \text { HHTH } & \text { HHTT } \\ \text { HTHH } & \text { HTHT } & \text { HTTH } & \text { HTTT } \\ \text { THHH } & \text { THHT } & \text { THTH } & \text { THTT } \\ \text { TTHH } & \text { TTHT } & \text { TTTH } & \text { TTTT } \end{array}$ Here, for example, HTTH represents the outcome that the first toss is heads, the next two tosses are tails, and the fourth toss is heads. The events $A$ and $B$ are defined as follows. $A =$ event exactly two tails are tossed $B =$ event the last two tosses are heads Describe the event (A & B) in words.

A) The event that two of the tosses come up tails and two tosses come up heads B) The event that exactly two tails are tossed or the last two tosses are heads or both C) The event that the first two tosses come up the same and the last two tosses come up the same D) The event the first two tosses are tails and the last two tosses are heads A) The event that two of the tosses come up tails and two tosses come up heads B) The event that exactly two tails are tossed or the last two tosses are heads or both C) The event that the first two tosses come up the same and the last two tosses come up the same D) The event the first two tosses are tails and the last two tosses are heads

List the outcomes comprising the specified event. -In a competition, two people will be selected from four finalists to receive the first and second prizes. The prize winners will be selected by drawing names from a hat. The names of the four Finalists are Jim, George, Helen, and Maggie. The possible outcomes can be represented as follows. \[\begin{array} { c c c c c c } J G & J H & J M & \text { GJ } & \text { GH } & \text { GM } \\ \text { HJ } & \text { HG } & \text { HM } & \text { MJ } & \text { MG } & \text { MH } \end{array}\] Here, for example, JG represents the outcome that Jim receives the first prize and George receives The second prize. The events A and B are defined as follows. $A =$ event that Helen gets first prize $B =$ event that George gets a prize List the outcomes that comprise the event (A or B).

A) $\mathrm { HG }$ B) JG, JH, GJ, GH, GM, HJ, HG, HM, MG, MH C) JG, GJ, GH, GM, HJ, HM, MG D) JG, GJ, GH, GM, HJ, HG, HM, MG A) $\mathrm { HG }$ B) JG, JH, GJ, GH, GM, HJ, HG, HM, MG, MH C) JG, GJ, GH, GM, HJ, HM, MG D) JG, GJ, GH, GM, HJ, HG, HM, MG

List the outcomes comprising the specified event. -When a quarter is tossed four times, 16 outcomes are possible. $\begin{array} { l l l l } \text { HHHH } & \text { HHHT } & \text { HHTH } & \text { HHTT } \\ \text { HTHH } & \text { HTHT } & \text { HTTH } & \text { HTTT } \\ \text { THHH } & \text { THHT } & \text { THTH } & \text { THTT } \\ \text { TTHH } & \text { TTHT } & \text { TTTH } & \text { TTTT } \end{array}$ Here, for example, HTTH represents the outcome that the first toss is heads, the next two tosses are tails, and the fourth toss is heads. The event $\mathrm { A }$ is defined as follows. $A =$ event the first two tosses are heads List the outcomes that comprise the event (not A).

A) HHHH, HHHT, HHTH, HHTT B) THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT C) TTHH, TTHT, TTTH, TTTT D) HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT A) HHHH, HHHT, HHTH, HHTT B) THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT C) TTHH, TTHT, TTTH, TTTT D) HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT

Find the indicated probability by using the special addition rule. -The distribution of B.A. degrees conferred by a local college is listed below, by major. $\begin{array} { l r } \underline { \text { Major } } & \text { Frequency } \\ \text { English } & 2073 \\ \text { Mathematics } & 2164 \\ \text { Chemistry } & 318 \\ \text { Physics } & 856 \\ \text { Liberal Arts } & 1358 \\ \text { Business } & 1676 \\ \text { Engineering } & \underline { 868 } \\ & 9313 \end{array}$ What is the probability that a randomly selected degree is in English or Mathematics?

A) 0.455 B) 0.424 C) 0.010 D) 0.517 A) 0.455 B) 0.424 C) 0.010 D) 0.517

Exam 4: Probability Concepts

Describe the specified event in words. -When a quarter is tossed four times, 16 outcomes are possible. НHHH HНHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT Here, for example, HTTH represents the outcome that the first toss is heads, the next two tosses are tails, and the fourth toss is heads. The event A is defined as follows. A = event the first two tosses are heads Describe the event (not A) in words.

(Multiple Choice)

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Question 81

List the outcomes comprising the specified event. -Three board members for a nonprofit organization will be selected from a group of five people. The board members will be selected by drawing names from a hat. The names of the five possible board Members are Allison, Betty, Charlie, Dave, and Emily. The possible outcomes can be represented as Follows. ABC ABD ABE ACD ACE ADE BCD BCE BDE CDE Here, for example, ABC represents the outcome that Allison, Betty, and Charlie are selected to be on the board. The events $A$ and $B$ are defined as follows. $\mathrm { A } =$ event that Dave is selected $B =$ event that Allison is selected List the outcomes that comprise the event (A or B).

(Multiple Choice)

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Question 82

Find the indicated probability. -On a multiple choice test, each question has 5 possible answers. If you make a random guess on the first question, what is the probability that you are correct?

(Multiple Choice)

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Question 83

Use the general multiplication rule to find the indicated probability. -What is the probability that 4 randomly selected people all have different birthdays?

(Multiple Choice)

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Question 84

Find the indicated probability. -The following contingency table provides a joint frequency distribution for a group of retired people by career and age at retirement. $Find the indicated probability. -The following contingency table provides a joint frequency distribution for a group of retired people by career and age at retirement. Suppose one of these people is selected at random. Compute \mathrm { P } \left( \mathrm { A } _ { 2 } \right. or \left. \mathrm { C } _ { 3 } \right) .$ Suppose one of these people is selected at random. Compute $\mathrm { P } \left( \mathrm { A } _ { 2 } \right.$ or $\left. \mathrm { C } _ { 3 } \right)$ .

(Multiple Choice)

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Question 85

Provide an appropriate response. -A person is selected at random from a certain population. Let A = event the person is left-handed B = event the person is male. In terms of probability notation, the percentage of males in the population can be expressed as $\mathrm { P } ( \mathrm { B } )$ . Use probability notation to express the percentage of males in the population that are left-handed.

(Multiple Choice)

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Question 86

Find the indicated probability by using the general addition rule. -A spinner has regions numbered 1 through 21 . What is the probability that the spinner will stop on an even number or a multiple of 3 ?

(Multiple Choice)

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Question 87

Describe the specified event in words. -The number of hours needed by sixth grade students to complete a research project was recorded with the following results. Hours Number of students (f) 4 15 5 11 6 19 7 6 8 9 9 16 10 2 A student is selected at random. The event A is defined as follows. A = the event the student took between 5 and 9 hours inclusive B = the event the student took at least 6 hours Describe the event (A & B) in words.

(Multiple Choice)

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Question 88

Use the general multiplication rule to find the indicated probability. -The table below describes the smoking habits of a group of asthma sufferers. Light Heavy Nonsmoker smoker smoker Total Men 347 50 39 436 Women 354 34 46 434 Total 701 84 85 870 If two different people are randomly selected from the 870 subjects, find the probability that they are both heavy smokers.

(Multiple Choice)

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Question 89

Describe the specified event in words. -When a quarter is tossed four times, 16 outcomes are possible. HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT Here, for example, HTTH represents the outcome that the first toss is heads, the next two tosses are tails, and the fourth toss is heads. The events $A$ and $B$ are defined as follows. $A =$ event exactly two tails are tossed $B =$ event the last two tosses are heads Describe the event (A & B) in words.

(Multiple Choice)

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Question 90

List the outcomes comprising the specified event. -In a competition, two people will be selected from four finalists to receive the first and second prizes. The prize winners will be selected by drawing names from a hat. The names of the four Finalists are Jim, George, Helen, and Maggie. The possible outcomes can be represented as follows. JG JH JM GJ GH GM HJ HG HM MJ MG MH Here, for example, JG represents the outcome that Jim receives the first prize and George receives The second prize. The events A and B are defined as follows. $A =$ event that Helen gets first prize $B =$ event that George gets a prize List the outcomes that comprise the event (A or B).

(Multiple Choice)

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Question 91

Find the indicated probability by using the general addition rule. -When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 4.

(Multiple Choice)

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Question 92

Determine the number of outcomes that comprise the specified event. -Suppose you are playing a game of chance. If you bet $5 on a certain event, you will collect $150 (including your $5 bet)if you win. Find the odds used for determining the payoff.

(Multiple Choice)

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Question 93

List the outcomes comprising the specified event. -When a quarter is tossed four times, 16 outcomes are possible. HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT Here, for example, HTTH represents the outcome that the first toss is heads, the next two tosses are tails, and the fourth toss is heads. The event $\mathrm { A }$ is defined as follows. $A =$ event the first two tosses are heads List the outcomes that comprise the event (not A).

(Multiple Choice)

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Question 94

Find the indicated probability. -A bag contains four chips of different colors, including red, blue, green, and yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at Random. Make a list of the possible outcomes (for example RB represents the outcome red chip Followed by blue chip)and use your list to determine the probability that one blue chip and one Yellow chip are selected.

(Multiple Choice)

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Question 95

Find the indicated probability by using the special addition rule. -The distribution of B.A. degrees conferred by a local college is listed below, by major. Frequency English 2073 Mathematics 2164 Chemistry 318 Physics 856 Liberal Arts 1358 Business 1676 Engineering 9313 What is the probability that a randomly selected degree is in English or Mathematics?

(Multiple Choice)

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Question 96

Provide an appropriate response. -A contingency table provides a joint frequency distribution for the popular votes cast in a presidential election by sex and political party. A joint probability distribution corresponding to the contingency table is obtained and can be represented as follows. $Provide an appropriate response. -A contingency table provides a joint frequency distribution for the popular votes cast in a presidential election by sex and political party. A joint probability distribution corresponding to the contingency table is obtained and can be represented as follows. The letters a through lare used to represent the probabilities in the different cells so, for example, the letter f represents P \left( P _ { 2 } \& S _ { 2 } \right) and the letter h represents P \left( S _ { 2 } \right) . if a person who voted in this election is selected at random, the events \left( \mathrm { P } _ { 1 } \right. \& and \left( P _ { 2 } \& S _ { 1 } \right) are mutually exclusive?$ The letters a through lare used to represent the probabilities in the different cells so, for example, the letter $f$ represents $P \left( P _ { 2 } \& S _ { 2 } \right)$ and the letter $h$ represents $P \left( S _ { 2 } \right)$ . if a person who voted in this election is selected at random, the events $\left( \mathrm { P } _ { 1 } \right.$ \& and $\left( P _ { 2 } \& S _ { 1 } \right)$ are mutually exclusive?

(True/False)

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Question 97

The following contingency table provides a joint frequency distribution for the popular votes cast in the presidential election by region and political party. Data are in thousands, rounded to the nearest thousand. $The following contingency table provides a joint frequency distribution for the popular votes cast in the presidential election by region and political party. Data are in thousands, rounded to the nearest thousand. If a person who voted in the presidential election is selected at random, P \left( R _ { 2 } \mid P _ { 1 } \right) = 0.280 . Interpret this probability in terms of percentages.$ If a person who voted in the presidential election is selected at random, $P \left( R _ { 2 } \mid P _ { 1 } \right) = 0.280$ . Interpret this probability in terms of percentages.

(Essay)

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Question 98

Find the indicated probability. -The following contingency table provides a joint frequency distribution for the popular votes cast in the presidential election by region and political party. Data are in thousands, rounded to the Nearest thousand. A person who voted in the presidential election is selected at random. Compute the probability that the person selected voted Democrat.

(Multiple Choice)

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Question 99

Determine whether the events are mutually exclusive. -The number of hours needed by sixth grade students to complete a research project was recorded with the following results. Hours Number of students (f) 4 15 5 11 6 19 7 6 8 9 9 16 10+ 2 A student is selected at random. The events A, B, and C are defined as follows. A = event the student took more than 9 hours B = event the student took less than 6 hours C = event the student took between 7 and 9 hours inclusive Is the collection of events A, B, and C mutually exclusive?

(True/False)

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Question 100

Showing 81 - 100 of 133

Find the indicated probability. -On a multiple choice test, each question has 5 possible answers. If you make a random guess on the first question, what is the probability that you are correct?

Use the general multiplication rule to find the indicated probability. -What is the probability that 4 randomly selected people all have different birthdays?

Find the indicated probability by using the general addition rule. -A spinner has regions numbered 1 through 21 . What is the probability that the spinner will stop on an even number or a multiple of 3 ?

Find the indicated probability by using the general addition rule. -When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 4.

Determine the number of outcomes that comprise the specified event. -Suppose you are playing a game of chance. If you bet $5 on a certain event, you will collect $150 (including your $5 bet)if you win. Find the odds used for determining the payoff.

The Nature of Statistics

Organizing Data

Descriptive Measures

Discrete Random Variables

The Normal Distribution

The Sampling Distribution of the Sample Mean

Confidence Intervals for One Population Mean

Hypothesis Tests for One Population Mean

Inferences for Two Population Means

Inferences for Population Standard Deviations

Inferences for Population Proportions

Chi-Square Procedures

Descriptive Methods in Regression and Correlation

Inferential Methods in Regression and Correlation

Analysis of Variance Anova

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