math 110 test 4

The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00044. If an insurance company sells a one-year, $30,000 life insurance policy to such a person for $375, what is the company's expectation? (Round your answer to the nearest dollar.)

$361.8

Fill in the blanks to show how to evaluate P(9, 5) using the counting principle. ( ) · ( ) · ( ) · ( ) · ( )

(9) · (8) · (7) · (6) · (5/1)

Use the data in the following table, which shows the results of a survey of 1,996 gamers about their favorite home video game systems, organized by age group. If a survey participant is selected at random, determine the probability of the following. Round to the nearest hundredth. The participant prefers Sega Genesis, given that the person is between the ages of 13 and 24. Nintendo Xbox Sega Playstation 0-12 63 84 55 51 13-18 115 139 87 113 19-24 248 208 83 169 ≥25 191 166 88 136

.15

What is the probability of drawing 2 cards in succession (without replacement) from a standard deck and having them both be face cards? Round to the nearest thousandth.

0.050

Use the data given in the table below to compute the probability that a randomly chosen voter from the survey will satisfy the following. Round to the nearest hundredth. The voter is an Independent. age repub demo inde other total 18-28 205 432 98 112 847 29-38 311 301 109 83 804 39-49 250 251 150 122 773 >50 272 283 142 107 804 total 1038 1267 499 424 3228

0.15

A pair of dice is rolled 3 times. What is the probability that a sum of 5 on the 2 dice will occur at least once? (Round your answer to three decimal places.)

0.298

If P(A) = 0.3, P(B) = 0.4, and P(A and B) = 0.2, find P(A or B). P(A or B) =

0.5

A card is drawn from a standard deck and replaced. After the deck is shuffled, another card is pulled. What is the probability that the first card drawn is a diamond and the second card is a club? (Enter your probability as a fraction.)

1/16

In the game of Monopoly, a player is sent to jail if he or she rolls doubles with a pair of dice 3 times in a row. What is the probability of rolling doubles 3 times in succession? (Enter your probability as a fraction.)

1/216

A pair of dice is tossed. Find the probability that the sum on the 2 dice is 4, given that doubles are rolled. (Enter your probability as a fraction.)

1/6

Evaluate the expression. P(9, 3) · P(5, 2)

10080

Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the two dice is the following. (Enter your probability as a fraction.) At most 4

2/12

Evaluate the expression. (8 − 4)!

24

A restaurant offers a special pizza with any 5 toppings. If the restaurant has 10 toppings from which to choose, how many different special pizzas are possible?

252

Ten people decide to play softball. In how many ways can the 10 people be divided into 2 teams of 5 people?

252 ways

A single card is drawn from a standard deck. Find the probability of the following event. (Enter your probability as a fraction.) Drawing a black card or a face card

32/52

Evaluate the expression. C(9, 2)

36

If a pair of regular dice are tossed once, use the expectation formula to determine the expected sum of the numbers on the upward faces of the two dice.

7

Two dice are rolled. Determine the probability of the following. ("Doubles" means both dice show the same number.) rolling a 4 or doubles

8/36

Three cards are dealt from a shuffled standard deck of playing cards without replacement.What is the probability that the three cards dealt are, in order, an ace, a face card, and an 8? (A face card is a jack, queen, or king.)

8/5525

A professor grades students on four tests, a term paper, and a final examination. Each test counts as 15% of the course grade. The term paper counts as 20% of the course grade. The final examination counts as 20% of the course grade. Alan has test scores of 78, 92, 90, and 98. Alan received an 80 on his term paper. His final examination score was 90. Use the weighted mean formula to find Alan's average for the course. (Round your answer to one decimal place.)

87.7

After six biology tests, Ruben has a mean score of 74. What score does Ruben need on the next test to raise his average (mean) to 76?

88

Find the mean, the median, and the mode(s), if any, for the given data. Round noninteger means to the nearest tenth. (If there is more than one mode, enter your answer as a comma-separated list. If an answer does not exist, enter DNE.) 37, 30, 24, 9, 18, 15, 25, 2

mean 20 median 21 mode DNE

Find the mean, the median, and the mode(s), if any, for the given data. Round noninteger means to the nearest tenth. (If there is more than one mode, enter your answer as a comma-separated list. If an answer does not exist, enter DNE.) −8.9, −2.4, 4.7, 4.7, 6.6, 8.3, 9.3

mean 3.2 median 4.7 mode 4.7

In a math class, tests are 50% of your grade, homework is 30% of your grade, test reviews are 5% of your grade, and the final exam is 15% of your grade. At the end of the semester, your test average is 60, your homework average is 95, and your review average is 73. Is it possible to get a B- (80%) in the class (assuming that the highest score you can get on the final is 100%)?

no

(A)One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3. (The roulette wheel includes the numbers 0, 00, and 1-36. 0 and 00 are not considered multiples of 3.) If the ball stops on such a number, the player wins double the amount bet.What is the probability of winning this bet? (Write your answer as a fraction.) (B)The (simplified) probability of winning this bet is 6/19.What is the probability of losing this bet? (Write your answer as a fraction.) (C)The (simplified) probability of losing this bet is 13/19.If a player bets $19, compute the player's expectation. (Round your answer to two decimal places.)

(A) 12/38 (B) 26/38 (C) $-1

Suppose the probability that it will rain tomorrow is 0.22. What is the probability that it will not rain tomorrow?

0.78

Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (Enter your probability as a fraction.) At least 10

1/6

The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can this be accomplished if there are 23 members on the board of directors?

10626

Use the data in the table below, which shows the employment status of individuals in a particular town by age group.A person from the town is randomly selected; what is the probability that the individual is employed full-time, given that he or she is between 18 and 49 years of age? Full-time Part-time Unemployed 0-17 24 164 371 18-25 192 203 148 26-34 348 73 27 35-49 581 179 119 50+ 443 162 173

1121/1870

The mean of 14 numbers is 48. Removing one of the numbers causes the mean to decrease to 43. What number was removed?

113

A snack-size bag of M&Ms candies is opened. Inside, there are 12 red candies, 12 blue, 7 green, 13 brown, 3 orange, and 10 yellow. Three candies are pulled from the bag in succession, without replacement.What is the probability that the first two candies drawn are yellow and the third is brown?

117/17556

A card is selected at random from a standard deck of playing cards.Compute the probability that the card is a face card (jack, queen, or king). (Enter your probability as a fraction.)

12/52

A coin is tossed 4 times. What are the odds against the coin showing heads all 4 times?

15 to 1

Use the formula for the probability of the complement of an event.A coin is flipped 4 times. What is the probability of getting at least 1 head? (Enter your probability as a fraction.)

15/16

A survey asked 850 respondents about their highest levels of completed education. The results are given in the table below.If a respondent from the survey is selected at random, compute the probability that the respondent has a Bachelor's degree. (Enter the probability as a fraction.) Education completed Number of respondents No high school diploma 52 High school diploma 234 Associate's degree or 274 two years of college Bachelor's degree 187 Master's degree 67 Ph.D. or professional degree 36

187/850

In some 4.0 grading systems, a student's grade point average (GPA) is calculated by assigning letter grades the following numerical values. A = 4.00 B− = 2.67 D+ = 1.33A− = 3.67 C+ = 2.33 D = 1.00B+ = 3.33 C = 2.00 D− = 0.067B = 3.00 C− = 1.67 F = 0.00 Use this grading system to find this student's GPA. Round to the nearest hundredth.Tessa's cumulative GPA for 3 semesters was 3.57 for 46 credit hours. Her fourth semester GPA was 3.72 for 12 credit hours. What is Tessa's cumulative GPA for all 4 semesters?

3.60

The height of a certain plant is determined by a dominant allele T corresponding to tall plants, and a recessive allele t corresponding to short (or dwarf) plants. If both parent plants have genotype Tt, compute the probability that the offspring plants will be tall. Hint: Draw a Punnett square. (Enter your probability as a fraction.)

3/4

A dodecahedral die (one with 12 sides numbered from 1 to 12) is tossed once. Find the probability that the number on the upward face is divisible by 3. (Enter the probability as a fraction.)

4/12

If a person draws two cards from a standard deck (without replacing them), what is the probability that at least one of the cards is a face card? (Round your answer to one decimal place.)

41.2%

Evaluate the expression. C(7, 4) · C(9, 4)

4410

Use the formula for the probability of the complement of an event.A single card is drawn from a deck. What is the probability of not drawing an ace?

48/52

Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.) 8

5/36

The outcomes of an experiment and the probability of each outcome are given in the table below. Compute the expectation for this experiment. Outcome Probability 5 0.4 6 0.24 7 0.2 8 0.08 9 0.07 10 0.01

6.21

In your English class, essays are 40% of your grade, homework is 20% of your grade, attendance is 5% of your grade, and the final project is 35% of your grade. At the end of the semester, your essay average is 88, your homework average is 92, and your attendance average is 91. What score do you need on the final project to get an A- (90%) in the class? (Round your answer to 2 decimal places.)

91