Exam 7: Understanding Statistics and Probability

family of 7 decides that each member will be responsible for buying a gift for only one other family member. If the names of all the members are put in a dish and everybody selects one name, what is the probability of every family member selecting his or her own name? ​

Drawing from a regular deck of playing cards, what is the probability of drawing a face card (jack, queen, or king) 4 times in a row, with replacement? ​

It costs $2.75 to play a dice game at the fair. The player rolls two standard dice and forms a proper fraction with the two numbers that are rolled. If the number represented by the fraction is in simplest form the player wins, if it is reducible he loses. How much should a winning roll pay out in order to make the game fair? Note: Fractions such as 2/2 are reducible to whole numbers.

The table below shows the breakdown of International Arms Sales per country for a particular year. Construct a circle graph using the % of Total data.

A bag contains 10 colored beads. A bead is selected from the bag and then replaced. After five draws, a red bead has been pulled out three times, a blue bead once , and a green bead once . Which statement about the contents of the bag must be true?

Beatrice has a 2.60 GPA after completing 117 credits. In her final semester of school she is taking 15 credit hours. If she wants to graduate with at least a 2.44 GPA, what is the minimum GPA she must make in her final semester?

The table below shows the immigration rates in thousands by decade, from 1900 to 1990, of a small European country. Construct a line graph to display this data.

Eight health maintenance organizations (HMOs) presented group health insurance plans to a company. The monthly rates per employee were $422, $394, $406, $399, $425, $356, $403, and $427. Calculate the mean and the median monthly rates for these eight HMOs.

How can be written using factorials? ​

Each of the letters of the word MISSISSIPPI is written on a card, and the cards are placed in a hat. One card is drawn at random from the hat. a. What is the probability that the card has the letter I on it? b. Which is greater, the probability of choosing a letter M or that of choosing a letter S? ​

Below are the annual salaries (in thousands of dollars) of workers in Wilson Widget factory: 20 , 20 , 23 , 23 , 23 , 25 , 25 , 25 , 25 , 28 , 28 , 28 , 29 , 29 , 29 , 32 , 32 , 33 , 36 , 40 , 40 , 65 Which measure of central tendency should you use to describe the average salary?

The line graph below shows the average monthly snowfall during ski season around Aspen, Colorado. During which month is the snowfall the greatest ? ​ ​

Suppose the American Lung Association states that approximately 1 out of every 24 deaths in the United States last year was from lung cancer. If there are 72 students in a class, how many would you expect to die from lung cancer?

Suppose the distribution of heights of a group of 400 children is normal, with a mean of 100 centimeters and a standard deviation of 20 centimeters. About how many of these children are taller than 100 centimeters?

The following table shows the population of a state's eight most populated cities. Construct a bar graph to display this data.