Questions: Which of the following is a continuous random variable? The number of roommates a randomly chosen students has The number of rooms each house has in a wealthy area The weight of food in kilos that a person eats for lunch at a buffet The average number of people waiting to get into a college class The number of beers a college kid drinks at a party

Solution Steps

To determine which of the given options is a continuous random variable, we need to identify the variable that can take on any value within a given range, rather than being restricted to discrete values.

1. The number of roommates a randomly chosen student has - Discrete
2. The number of rooms each house has in a wealthy area - Discrete
3. The weight of food in kilos that a person eats for lunch at a buffet - Continuous
4. The average number of people waiting to get into a college class - Discrete
5. The number of beers a college kid drinks at a party - Discrete

The weight of food in kilos that a person eats for lunch at a buffet is a continuous random variable because it can take any value within a range.

To determine which of the given options is a continuous random variable, we need to identify the variable that can take on any value within a given range, rather than being restricted to discrete values.

1. The number of roommates a randomly chosen student has: This is a discrete variable because it can only take integer values (e.g., 0, 1, 2, etc.).
2. The number of rooms each house has in a wealthy area: This is a discrete variable because it can only take integer values (e.g., 1, 2, 3, etc.).
3. The weight of food in kilos that a person eats for lunch at a buffet: This is a continuous variable because it can take any value within a range (e.g., 0.5 kg, 1.25 kg, etc.).
4. The average number of people waiting to get into a college class: This is a discrete variable because it is typically represented as an integer value.
5. The number of beers a college kid drinks at a party: This is a discrete variable because it can only take integer values (e.g., 0, 1, 2, etc.).

From the analysis, the weight of food in kilos that a person eats for lunch at a buffet is the only continuous random variable because it can take any value within a range.

Final Answer