Chapter 12

Evaluate each expression. \(P(9,1)\)

For Exercises \(12-21,\) find the margin of sampling error to the nearest percent. $$ p=16 \%, n=400 $$

For Exercises \(9-14\) , use the following information. An exponential distribution has a mean of \(0.5 .\) Find each probability. $$ x<\frac{1}{3} $$

Find each probability if a coin is tossed 5 times. \(P(\text { at least } 4 \text { tails) }\)

HEALTH For Exercises 12 and \(13,\) use the following information. The cholesterol level for adult males of a specific racial group is normally distributed with a mean of 4.8 and a standard deviation of \(0.6 .\) About how many of the 900 men in a study have cholesterol between 4.2 and 6.0\(?\)

A die is rolled twice. Find each probability. \(P(\text { no } 6 \mathrm{s})\)

Jesse has eight friends who have volunteered to help him with a school fundraise. Five are boys and 3 are girls. If he randomly selects 3 friends to help him, find each probability. \(P(\text { at least } 1 \text { boy })\)

Bob is moving and all of his sports cards are mixed up in a box. Twelve cards are baseball, eight are football, and five are basketball. If he reaches in the box and selects them at random, find each probability. P(1 basketball, 1 football, 1 baseball)

Evaluate each expression. \(P(7,5)\)

State whether the events are independent or dependent. A video store has 8 new releases this week. Each is available on videotape and on DVD. How many ways can a customer choose a new release and a format to rent?

For Exercises \(12-21,\) find the margin of sampling error to the nearest percent. $$ p=54 \%, n=500 $$

For Exercises \(9-14\) , use the following information. An exponential distribution has a mean of \(0.5 .\) Find each probability. $$ x<2.5 $$

Find each probability if a coin is tossed 5 times. \(P(\text { at most } 2 \text { tails })\)

The table below shows the rebounding totals for the members of the 2005 Charlotte Sting. $$\begin{array}{|l|l|l|l|l|l|l|l|l|l|}\hline 162 & {145} & {179} & {37} & {44} & {53} & {70} & {65} & {47} & {35} & {71} & {5} & {5} \\ \hline\end{array}$$ Find the mean, median, and mode of the data to the nearest tenth.

VENDING For Exercises \(14-16\) , use the following information. A vending machine usually dispenses about 8 ounces of coffee. Lately, the amount varies and is normally distributed with a standard deviation of 0.3 ounce. What percent of the time will you get more than 8 ounces of coffee?

A die is rolled twice. Find each probability. \(P(\text { two } 4 \mathrm{s})\)

Bob is moving and all of his sports cards are mixed up in a box. Twelve cards are baseball, eight are football, and five are basketball. If he reaches in the box and selects them at random, find each probability. P(2 baseball, 2 basketball)

Evaluate each expression. \(P(12,6)\)

For Exercises \(12-21,\) find the margin of sampling error to the nearest percent. $$ p=48 \%, n=1000 $$

For Exercises 15-17, use the following information. A binomial distribution has a 60\(\%\) rate of success. There are 18 trials. What is the probability that there will be at least 12 successes?

Find each probability if a die is rolled 4 times. \(P(\text { exactly one } 3)\)

The table below shows the rebounding totals for the members of the 2005 Charlotte Sting. $$\begin{array}{|l|l|l|l|l|l|l|l|l|l|}\hline 162 & {145} & {179} & {37} & {44} & {53} & {70} & {65} & {47} & {35} & {71} & {5} & {5} \\ \hline\end{array}$$ Which measure of central tendency best represents the data? Explain your answer.

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

Evaluate each expression. \(C(5,2)\)

State whether the events are independent or dependent. The menu for a banquet has a choice of 2 types of salad, 5 main courses, and 3 desserts. How many ways can a salad, a main course, and a dessert be selected to form a meal?

For Exercises \(12-21,\) find the margin of sampling error to the nearest percent. $$ p=33 \%, n=1000 $$

For Exercises 15-17, use the following information. A binomial distribution has a 60\(\%\) rate of success. There are 18 trials. What is the probability that there will be 12 failures?

Find each probability if a die is rolled 4 times. \(P(\text { exactly three } 3 \mathrm{s})\)

An electronics store placed an ad in the newspaper showing five flat-screen TVs for sale. The ad says, "Our flat-screen TVs average \(\$ 695 . "\) The prices of the flat- screen TVs are \(\$ 1200, \$ 999, \$ 1499, \$ 695, \$ 695, \$ 1100, \$ 1300,\) and \(\$ 695 .\) Find the mean, median, and mode of the prices.

VENDING For Exercises \(14-16\) , use the following information. A vending machine usually dispenses about 8 ounces of coffee. Lately, the amount varies and is normally distributed with a standard deviation of 0.3 ounce. What percent of the time will you get between 7.4 and 8.6 ounces of coffee?

A die is rolled twice. Find each probability. \(P(\text { two of the same number) }\)

Janice has 8 DVD cases on a shelf, one for each season of her favorite TV show. Her brother accidentally knocks them off the shelf onto the floor. When her brother puts them back on the shelf, he does not pay attention to the season numbers and puts the cases back on the shelf randomly. Find each probability. P(season 5 in the correct position)

Evaluate each expression. \(C(8,4)\)

For Exercises \(12-21,\) find the margin of sampling error to the nearest percent. $$ p=67 \%, n=1500 $$

For Exercises 15-17, use the following information. A binomial distribution has a 60\(\%\) rate of success. There are 18 trials. What is the expected number of successes?

An electronics store placed an ad in the newspaper showing five flat-screen TVs for sale. The ad says, "Our flat-screen TVs average \(\$ 695 . "\) The prices of the flat- screen TVs are \(\$ 1200, \$ 999, \$ 1499, \$ 695, \$ 695, \$ 1100, \$ 1300,\) and \(\$ 695 .\) Which measure is the store using in its ad? Why did they choose it?

Find each probability if a die is rolled 4 times. \(P(\text { at most two } 3 \mathrm{s})\)

For Exercises \(17-19,\) use the following information. The sizes of CDs made by a company are normally distributed with a standard deviation of 1 millimeter. The CDs are supposed to be 120 millimeters in diameter, and they are made for drives 122 millimeters wide. What percent of the CDs would you expect to be greater than 120 millimeters?

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

Janice has 8 DVD cases on a shelf, one for each season of her favorite TV show. Her brother accidentally knocks them off the shelf onto the floor. When her brother puts them back on the shelf, he does not pay attention to the season numbers and puts the cases back on the shelf randomly. Find each probability. P(seasons 1 and 8 in the correct positions)

Evaluate each expression. \(C(12,7)\)

State whether the events are independent or dependent. Each question on a five-question multiple-choice quiz has answer choices labeled A, B, C, and D. How many different ways can a student answer the five questions?

An electronics store placed an ad in the newspaper showing five flat-screen TVs for sale. The ad says, "Our flat-screen TVs average \(\$ 695 . "\) The prices of the flat- screen TVs are \(\$ 1200, \$ 999, \$ 1499, \$ 695, \$ 695, \$ 1100, \$ 1300,\) and \(\$ 695 .\) As a consumer, which measure would you want to see advertised? Explain.

Find each probability if a die is rolled 4 times. \(P(\text { at least three } 3 \mathrm{s})\)

For Exercises \(17-19,\) use the following information. The sizes of CDs made by a company are normally distributed with a standard deviation of 1 millimeter. The CDs are supposed to be 120 millimeters in diameter, and they are made for drives 122 millimeters wide. If the company manufactures 1000 CDs per hour, how many of the CDs made in one hour would you expect to be between 119 and 122 millimeters?

The tiles \(E, T, F, U, N, X,\) and \(P\) of a word game are placed face down in the lid of the game. If two tiles are chosen at random, find each probability. \(P(E, \text { then } N),\) if replacement occurs

Janice has 8 DVD cases on a shelf, one for each season of her favorite TV show. Her brother accidentally knocks them off the shelf onto the floor. When her brother puts them back on the shelf, he does not pay attention to the season numbers and puts the cases back on the shelf randomly. Find each probability. P(seasons 1 through 4 in the correct positions)

Evaluate each expression. \(C(10,4)\)

Abby is registering at a Web site. She must select a password containing six numerals to be able to use the site. How many passwords are allowed if no digit may be used more than once?

For Exercises \(12-21,\) find the margin of sampling error to the nearest percent. In a recent survey, 431 full-time employees were asked if the Internet has made them more or less productive at work. 27\(\%\) said it made them more productive.