Random Variable

Which of the following is an example of a discrete variable?

• The average distance traveled by a tricycle in a month.

• Height of the students in a section Prudence.

• Number of blue marbles in the box.

• Weight of potatoes in the basket.

Which of the following statement describe a continuous random variable?

• The number of motorcycles owned by a randomly selected household.

• The length of time for the check up in the hospital

• The number of girls taller than 5 feet in a random sample of 6 girls.

• The number of clients of a certain Insurance Company each day.

You decided to conduct a survey of families with two children. You are interested in counting the number of girls (out of 2 children) in each family.

Is this a random variable?

• Yes, it is a random variable.

• No, it is not a random variable.

• Maybe.

• Cannot be determined.

If a coin is tossed, what are the possible values of the random variable for the number of heads?

• H = {0, 1}

• H = {0, 1, 2}

• H = {1, 2, 3}

• H= {0, 1, 2, 3}

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

experiment?

• S = {HHH, TTT}

• S = {TTT, HHH, TTH, THT, HTH}

• S= {TTT, HHH, HHT, THT, HTH}

• S= {TTT, TTH, THT, HTT, HHT, HTH, THH, HHH}

If you tossed a die, which of the following is NOT a possible value of the random variable X representing the number of dots appeared at the top after tossing the die?

• 1

• 7

• 6

• 3

Which of the following is a variable whose value is obtained by measuring?

• Continuous

• Discrete

• Ordinal

• Nominal

You decide to collect a bunch of bottles of soft drink and measure the volume of soft drink in each bottle. Let X be the number of milliliter (ml) of softdrink in each bottle. What type of variable is X?

• X is a constant.

• X is a place holder.

• X is a discrete random variable.

• X is a continuous random variable.