Module 7 Practice Questions

Front

What is a continuous random variable?

Back

A continuous random variable is a variable that can take an infinite number of values within a given range. Examples include measurements like height, weight, and temperature.

Front

What is a discrete random variable?

Back

A discrete random variable is a variable that can take on a countable number of distinct values. Examples include the number of students in a class or the number of defective items in a batch.

Front

Give an example of a continuous random variable.

Back

The weight of a lightweight boxer is an example of a continuous random variable.

Front

Give an example of a discrete random variable.

Back

The number of earrings in a person's ear is an example of a discrete random variable.

Front

What is a probability distribution?

Back

A probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

Front

What does it mean to find the probability of at least 'n' occurrences?

Back

Finding the probability of at least 'n' occurrences means calculating the likelihood that the number of occurrences is greater than or equal to 'n'.

Front

If a random variable X has possible values 1, 2, 3, 4, 5, what are the possible values for X if we want at least 3?

Back

The possible values for X if we want at least 3 are 3, 4, and 5.

Front

What is the probability of making at least one sale if the probability distribution shows 40/50?

Back

The probability of making at least one sale is 40/50, which simplifies to 0.8 or 80%.

Front

How do you interpret a probability of 0.55 in a random variable context?

Back

A probability of 0.55 means there is a 55% chance of the event occurring, indicating it is more likely to happen than not.

Front

What is the significance of the total probability in a probability distribution?

Back

The total probability in a probability distribution must equal 1, representing the certainty that one of the possible outcomes will occur.