Grade 11 Probability and Statistics QUIZ 1

Which of the following is an example of discrete variable?

• Weight of a dog.

• Depth of Mariana Trench

• Number of yellow marbles in a container.

• Height of the students in a certain class.

Suppose you tossed three coins. What are the sample spaces for the experiment?

• HHH, TTT

• TTT, HHH, HHT, THT, HTH

• TTT, HHH, HHT, THT, HTH

• TTT, TTH, THT, HTT, HHT, HTH, THH, HHH

Which of the following is a random variable whose possible values can be counted?

• discrete

• continuous

• discreet

• continues

Which of the following statements about discrete random variables is false?

• A discrete random variable may have only one possible value.

• A discrete random variable can have more than 1000 possible values.

• A discrete random variable can have infinite possible values.

• A discrete random variable can take on negative values.

If two coins are tossed, which is not a possible value of the random variable for the number of heads?

• 0

• 1

• 2

• 3

A meeting of consuls was attended by 4 Americans and 2 Germans. If three consuls were selected at random one after the other, determine the values of the random variable G representing the number of Germans.

• O ={0,1}

• O ={0,1, 2,}

• O ={0,1,2,3}

• O ={0,1, 2,4}

Which of the following is a property of a probability distribution?

• The sum of the probabilities of a random variable must be equal to one.

• The sum of the probabilities of a random variable must be equal to zero.

• The sum of the probabilities of a random variable can be equal to a negative number.

• The sum of the probabilities of a random variable can be greater than one.

Which of the following statements is true about the probability of a random variable?

• The probability of a random variable is greater than or equal to zero but less than or equal to one.

• The probability of a random variable is greater than or equal to zero.

• The probability of a random variable is greater than zero but less than one.

• The probability of a random variable can be any number.

• 0,2,3

• 1,2,3

• 2,3,4

• 1,1,2

In the following histogram, which event (x) is most likely to occur?

• Event 0

• Event 1

• Event 2

• Event 3