Chapter 12

Determine whether each situation would produce a random sample. Write yes or no and explain your answer. the government sending a tax survey to everyone whose social security number ends in a particular digit

Find each probability if a coin is tossed 3 times. \(P(\text { exactly } 2 \text { heads })\)

The table below shows the amounts of money spent on education per student in a recent year in two regions of the United States. $$\begin{array}{|c|c|c|c|}\hline \text { Alaska } & {9564} & {\text { Texas }} & {6771} \\ \hline \text { California } & {7405} & {\text { Arkansas }} & {6276} \\ \hline \text { Washington } & {7039} & {\text { Louisiana }} & {6567} \\ \hline \text { Oregon } & {7642} & {\text { Oklahoma }} & {6299} \\\ \hline\end{array}$$ Find the mean for each region.

A die is rolled. Find each probability. \(P(1 \text { or } 6)\)

A die is rolled twice. Find each probability. \(P(5, \text { then } 1)\)

Suppose you select 2 letters at random from the word compute. Find each probability. \(P(2 \text { vowels })\)

Evaluate each expression. \(P(5,3)\)

State whether the events are independent or dependent. choosing the color and size of a pair of shoes

Determine whether each situation would produce a random sample. Write yes or no and explain your answer. surveying college students in the honors program to determine the average time students at the college study each day

Find each probability if a coin is tossed 3 times. \(P(0 \text { heads })\)

For Exercises \(2-4,\) use the following information. Mr. Bash gave a quiz in his social studies class. The scores were normally distributed with a mean of 21 and a standard deviation of \(2 .\) What percent would you expect to score between 19 and 23\(?\)

The table below shows the amounts of money spent on education per student in a recent year in two regions of the United States. $$\begin{array}{|c|c|c|c|}\hline \text { Alaska } & {9564} & {\text { Texas }} & {6771} \\ \hline \text { California } & {7405} & {\text { Arkansas }} & {6276} \\ \hline \text { Washington } & {7039} & {\text { Louisiana }} & {6567} \\ \hline \text { Oregon } & {7642} & {\text { Oklahoma }} & {6299} \\\ \hline\end{array}$$ For which region is the mean more representative of the data? Explain.

A die is rolled. Find each probability. \(P(\text { at least } 5)\)

A die is rolled twice. Find each probability. \(P(\text { two even numbers) }\)

Suppose you select 2 letters at random from the word compute. Find each probability. P(2 consonants)

Evaluate each expression. \(P(6,3)\)

State whether the events are independent or dependent. choosing the winner and runner-up at a dog show

For Exercises \(3-5,\) find the margin of sampling error to the nearest percent. $$ p=72 \%, n=100 $$

Find each probability if a coin is tossed 3 times. \(P(\text { at least } 1 \text { head })\)

For Exercises \(2-4,\) use the following information. Mr. Bash gave a quiz in his social studies class. The scores were normally distributed with a mean of 21 and a standard deviation of \(2 .\) What percent would you expect to score between 23 and 25\(?\)

Find the variance and standard deviation of each set of data to the nearest tenth. {48, 36, 40, 29, 45, 51, 38, 47, 39, 37}

A die is rolled. Find each probability. \(P(\text { less than } 3)\)

There are 8 action, 3 comedy, and 5 children's DVDs on a shelf. Suppose two DVDs are selected at random from the shelf. Find each probability. \(P(2 \text { action DVDs }),\) if replacement occurs

Suppose you select 2 letters at random from the word compute. Find each probability. P(1 vowel, 1 consonant)

Evaluate each expression. \(C(4,2)\)

An ice cream shop offers a choice of two types of cones and 15 flavors of ice cream. How many different 1-scoop ice cream cones can a customer order?

For Exercises \(3-5,\) find the margin of sampling error to the nearest percent. $$ p=31 \%, n=500 $$

Four cards are drawn from a standard deck of cards. Each card is replaced before the next one is drawn. Find each probability. \(P(4 \text { jacks })\)

For Exercises \(2-4,\) use the following information. Mr. Bash gave a quiz in his social studies class. The scores were normally distributed with a mean of 21 and a standard deviation of \(2 .\) What is the probability that a student chosen at random scored between 17 and 25\(?\)

Find the variance and standard deviation of each set of data to the nearest tenth. {321, 322, 323, 324, 325, 326, 327, 328, 329, 330}

A die is rolled. Find each probability. \(P(\text { even or prime) }\)

An administrative assistant has 4 blue file folders, 3 red folders, and 3 yellow folders on her desk. Each folder contains different information, so two folders of the same color should be viewed as being different. She puts the file folders randomly in a box to be taken to a meeting. Find each probability. P(4 blue, 3 red, 3 yellow, in that order)

There are 8 action, 3 comedy, and 5 children's DVDs on a shelf. Suppose two DVDs are selected at random from the shelf. Find each probability. \(P(2 \text { action } \mathrm{DVDs}),\) if no replacement occurs

Evaluate each expression. \(C(6,1)\)

A bookshelf holds 4 different biographies and 5 different mystery novels. How many ways can one book of each type be selected? A. 1 B. 9 C. 10 D. 20

Four cards are drawn from a standard deck of cards. Each card is replaced before the next one is drawn. Find each probability. \(P(\text { exactly } 3 \text { jacks })\)

For Exercises \(5-8,\) use the following information. The useful life of a certain car battery is normally distributed with a mean of \(100,000\) miles and a standard deviation of \(10,000\) miles. The company makes \(20,000\) batteries a month. About how many batteries will last between \(90,000\) and \(110,000\) miles?

Find the variance and standard deviation of each set of data to the nearest tenth. {43, 56, 78, 81, 47, 42, 34, 22, 78, 98, 38, 46, 54, 67, 58, 92, 55}

A die is rolled. Find each probability. \(P(\text { multiple of } 3 \text { or } 4)\)

An administrative assistant has 4 blue file folders, 3 red folders, and 3 yellow folders on her desk. Each folder contains different information, so two folders of the same color should be viewed as being different. She puts the file folders randomly in a box to be taken to a meeting. Find each probability. P(first 2 blue, last 2 blue)

There are 8 action, 3 comedy, and 5 children's DVDs on a shelf. Suppose two DVDs are selected at random from the shelf. Find each probability. \(P(\text { a comedy DVD, then a children's DVD), if no replacement occurs }\)

Lance’s math quiz has eight true-false questions. How many different choices for giving answers to the eight questions are possible?

MEDIA For Exercises 6 and 7 , use the following information. A survey found that 57\(\%\) of consumers said they will not have any debt from holiday spending. Suppose the survey had a margin of error of 3\(\%\) . What does the 3\(\%\) indicate about the results?

Four cards are drawn from a standard deck of cards. Each card is replaced before the next one is drawn. Find each probability. \(P(\text { at most } 1 \text { jack })\)

For Exercises \(5-8,\) use the following information. The useful life of a certain car battery is normally distributed with a mean of \(100,000\) miles and a standard deviation of \(10,000\) miles. The company makes \(20,000\) batteries a month. About how many batteries will last more than \(120,000\) miles?

Find the variance and standard deviation of each set of data to the nearest tenth. {400, 300, 325, 275, 425, 375, 350}

A die is rolled. Find each probability. \(P(\text { multiple of } 2 \text { or } 3)\)

Three cards are drawn from a standard deck of cards. Find each probability. \(P(3 \text { hearts }),\) if replacement occurs

Determine whether each situation involves a permutation or a combination. Then find the number of possibilities. an arrangement of the letters in the word intercept

Pizza House offers three different crusts, four sizes, and eight toppings. How many different ways can a customer order a pizza?