Exam 7: Understanding Statistics and Probability

The following table shows the highest education attainment levels for adults in the United States for a given year. Construct a circle graph to display this data.

How many ways can 6 flags be arranged on a flag pole, one above the other, if there are 8 different flags to choose from?

What is the minimum number of people who would have to be enrolled in a school to guarantee that there were at least two students who have the same birthday (excluding year) and the same last initial ?

In a special triathlon, Denita swam 1 mile in 20 minutes, biked 25 miles in 50 minutes, and then ran 5 miles in 50 minutes. What was her "average" speed in miles/hour for the race, to the nearest tenth?

Joe has a 2.79 GPA after 39 credits. He says that he has a total of 108.81 grade points. Julie says that's impossible. Who is correct, and why? ​

Belinda took three tests. If her median score was 55 , her mean score was 66 , and the range was 39 , what were her three test scores?

The bar graph below shows the regions in which all the passenger cars were produced during a recent year. What is the difference between the number of passenger cars produced in Western Europe and the number produced in Eastern Europe/Russia?

The number of seats occupied per flight on a jet for 16 trans-Atlantic flights was recorded. The numbers were 302 , 424 , 387 , 418 , 403 , 350 , 366 , 313 , 411 , 391 , 328 , 408 , 402 , 382 , 413 , and 398 . Calculate the mean, the median, and the mode of the number of seats occupied per flight.

A hospital nursery with 22 babies contains exactly 11 girls and 11 boys. If the chances of a woman giving birth to a boy or a girl are the same, what is the probability that exactly 11 out of the 22 babies are girls? ​

A consumer research group purchased identical items in eight grocery stores. The costs for the purchased items were $ 46.03 , $ 52.17 , $ 41.62 , $ 40.85 , $ 48.81 , $ 42.64 , $ 47.91 , and $ 45.97 . Calculate the mean and the median costs of the purchased items. Round your answers to four decimal places. ​

The Midway Cafe is offering a three-course meal at a special price. You can choose among the following options for the special: Appetizer: soup or salad Main Course: lasagna, beef tips, fried chicken, pork chops Dessert: carrot cake, cherry pie, ice cream If there are 5 choices of salad dressing and 3 choices of ice cream, how many dinner combinations are possible?

A multiple choice quiz consists of 10 questions, each with 4 answer choices. What is the total number of ways that the questions can be answered on the quiz?

Compute Malcolm's GPA, to the nearest hundredth, for the semester (A=4, B=3, C=2, D=1, F=0).

Suppose you are designing two dice which will be rolled and the face values added together. Which combination of numbers should be displayed on the faces of the two dice to yield only even sums where each sum is equally likely?

A school is having a carnival to raise funds. One of the games requires the player to pay $2 and spin the spinner. The player wins the amount of money in the section where the pointer stops. If 1000 people play the game, how much money can the school expect to make?

In a family of 5 children, what is the probability of having 3 girls and 2 boys?

Tiles with each of the 26 letters of the alphabet printed on them are placed in a box. If five tiles are selected from the box, with replacement, what is the probability that the tiles selected will spell the word COUCH? The letters must be selected in the correct order. ​

Let's say a student scored 33 on a math achievement test for which the mean was 43 and the standard deviation was 10. Judging on the basis of this performance, what score would you predict for her on a standardized test for which the mean is 100 and the standard deviation 14?

Wendy took a standardized test that consisted of five different parts. Her score on each part, as well as the respective means and standard deviations are displayed in the table below. On which test part did she do the "best"?

If two cards are selected from a standard deck of playing cards, without replacement, what is the probability of getting two face cards? ​