AP Statistics Chapter 6 Random Variables

Which of the following is a discrete random variable?

• I only

• II only

• III only

• I and II

• II and III

The following table gives the probabilities of various outcomes for a gambling game. What is the player's expected return on a bet of $1?

• $0.05

• -$0.60

• -$0.05

• -$0.10

• You can't answer this question since this is not a complete probability distribution.

Seventeen people have been exposed to a particular disease. Each one independently has 40% chance of contracting the disease. A hospital has the capacity to handle 10 cases of the disease. What is the probability that the hospital's capacity will be exceeded?

• 0.011

• 0.035

• 0.092

• 0.965

A fast-food restaurant runs a promotion in which certain food items come with game pieces. According to the restaurant, 1 in 4 game pieces is a winner. If Jeff gets 4 game pieces, what is the probability that he wins exactly 1 price?

• 
• 
• 

Joe reads that 1 our of 4 eggs contains salmonella bacteria. So he never uses more than 3 eggs in cooking. If eggs do or don't contain salmonella independently of each other, the number of contaminated eggs when Joe uses 3 chosen at random has the following distribution:

• Binomial; n = 4 and p = 1/4

• Binomial; n = 3 and p = 1/4

• Binomial; n = 3 and p = 1/3

• Geometric; p = 1/4

• Geometric; p = 1/3

• Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
• No, all probabilities are not be between 0 and 1 inclusive
• No, the sum of all the probabilities is not 1.
• Yes, because the distribution is symmetric

• Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
• No, all probabilities are not be between 0 and 1 inclusive
• No, the sum of all the probabilities is not 1.
• Yes, because the distribution is symmetric

What is a quantitative variable that could have an infinite number of values?

• categorical variable

• qualitative variable

• discrete variable

• continuous variable

What is the branch of mathematics dealing with the collection, organization, analysis, interpretation and presentation of data?

• Algebra

• Geometry

• Probability

• Statistics

State whether it is Discrete or Continuous;

A film critic's rating of a film, 0 to 4 stars

• Discrete

• Continuous