Exam 4: Probability: the Study of Randomness

If you draw an M&M candy at random from a bag of the candies,the candy you draw will have one of six colors.The probability of drawing each color depends on the proportion of each color among all candies made.Assume the table below gives the probabilities for the color of a randomly chosen M&M. What is the probability of not drawing a red candy?

On the first day of class,a professor asks each student what country they are from originally.What is the sample space?

Checkers is a board game played between two players,who alternate moves.The board is square,with sixty-four smaller squares,arranged in an eight-by-eight grid.The smaller squares are alternately light and dark colored,in the famous "checker-board" pattern.Each player starts with 12 pieces.You win by capturing all your opponent's pieces.This is accomplished by jumping over a piece,diagonally,to the adjacent vacant square beyond the piece.If each player's goal is to win the game,then each move is considered _________.

Belgium has two official languages: French and Dutch.Assume that about 60% of the people speak Dutch and 40% of the people speak French.Define the event A as the event that two randomly selected Belgians speak the same language.What is the complement of event A?

In the United States the month of April generally has the highest amount of rainfall.Suppose the amount of rainfall from 2000 to 2013 was recorded.The amount of rainfall that fell in the month of April of each of these years is an example of a _______.

Two events are considered independent if the outcome of one does not influence the outcome of the other.

A standard deck of cards has 52 cards.The cards have one of two colors: 26 cards in the deck are red and 26 are black.The cards have one of four denominations: 13 cards are hearts (red),13 cards are diamonds (red),13 cards are clubs (black),and 13 cards are spades (black).One card is selected at random and the denomination is recorded.Which of the following is the correct sample space S for the set of possible outcomes?

A penny is tossed.We observe whether it lands heads up or tails up.Suppose the penny is a fair coin;that is,the probability of heads is one-half and the probability of tails is one-half.What does this mean?

Which of the following is/are appropriate statements about randomness and/or probability?

The United States has 10 federal holidays.Each holiday and the date of the holiday in 2016 are listed in the table below. Suppose you employer allows you to take up to three of the federal holidays off from work.What is the sample space for the number of federal holidays you take off?

A coin is tossed,and then a six-sided die is rolled.Which of the following defines the sample space S?

You are taking a basic statistics class.On the first exam you score poorly and receive only 10 out of 100 points.You decide to get a tutor for the next exam and study quite a bit more.You end up scoring much better and receive 80 out of 100 points.The scores on your first and second exam are considered _________.

On a college campus in the northeast there are approximately 3000 students.On average there are approximately 50 classes being offered simultaneously on a given day.The number of registered students who are absent from the class is an example of a _______.

A probability histogram can only be used for continuous random variables.

Suppose that at the Apple iPhone manufacturing plant phones are found to be defective at a rate of 1 per 100.What is the probability that you and your roommate both order iPhones and both receive defective merchandise?

Which of the following define a complete and valid probability model?

The amount of text messages teenagers send per month is an example of a ______ random variable.

If you draw an M&M candy at random from a bag of the candies,the candy you draw will have one of six colors.The probability of drawing each color depends on the proportion of each color among all candies made.Assume the table below gives the probabilities for the color of a randomly chosen M&M. What is the probability of drawing a yellow candy?

If two events have no outcomes in common,then those two events are ________.

The United States has 10 federal holidays.Each holiday and the date of the holiday in 2016 are listed in the table below. Suppose your employer only allows you take three of the federal holidays off from work.What is the sample space for the federal holidays you take off?