A fair six-sided die is rolled. What is the probability of rolling an even number?
1/6
1/2
2/3
1/3
Which of the following is an example of a discrete random variable?
The temperature of a room.
The height of a student.
The number of heads when a coin is flipped four times.
The weight of an apple.
Which of the following measures the spread or dispersion of a random variable's values around its expected value?
Cumulative Distribution Function
Probability Mass Function
Expected Value
Variance
How many different ways can you arrange the letters in the word "DATA"?
12
16
24
4
A fair coin is flipped 5 times. What is the probability of getting exactly 3 heads?
3/16
5/16
1/8
A website experiences an average of 5 user registrations per hour. What distribution best models the number of registrations in a given hour?
Poisson Distribution
Uniform Distribution
Binomial Distribution
Geometric Distribution
If a random variable X is multiplied by a constant 'c', how does it affect its expected value?
E(cX) = E(X)
E(cX) = E(X) + c
E(cX) = E(X) / c
E(cX) = c * E(X)
Which field heavily utilizes probability to analyze and make predictions from data?
Data Science
History
Literature
Philosophy
What does the addition rule of probability calculate?
Probability of one event OR another event occurring
Probability of two events occurring given that one has already happened
Probability of an event NOT occurring
Probability of one event AND another event occurring
What does the expected value (mean) of a random variable represent?
The most frequent value the variable takes on.
The spread or dispersion of the variable's values.
The probability of the variable taking on a specific value.
The average of all possible values, weighted by their probabilities.