Which of the following is NOT a valid probability value?
0
1
1.25
0.75
What does the Probability Density Function (PDF) represent for a continuous random variable?
A measure of the spread or variability of the variable.
The probability of the variable taking on a specific value.
The relative likelihood of the variable falling within a particular range.
The cumulative probability of the variable up to a given value.
A random variable representing the number of website visitors in an hour is an example of what type of variable?
Qualitative
Discrete
Ordinal
Continuous
What does the expected value (mean) of a random variable represent?
The spread or dispersion of the variable's values.
The most frequent value the variable takes on.
The average of all possible values, weighted by their probabilities.
A committee of 3 people is to be formed from a group of 5. How many different committees are possible?
10
20
15
60
What does the complement rule in probability state?
The probability of two events happening is the sum of their individual probabilities.
The probability of an event happening is equal to the probability of it not happening.
The probability of an event is always 1.
The probability of an event not happening is 1 minus the probability of it happening.
You roll a fair six-sided die. What is the probability of rolling a number greater than 4?
1/6
2/3
1/2
1/3
How is a random variable different from a regular variable in programming?
Regular variables cannot be used in statistical analysis.
There's no difference, both terms are interchangeable.
Random variables have an associated probability distribution.
Random variables can only store numeric data.
A random variable X has a probability distribution as follows: P(X=0) = 0.2, P(X=1) = 0.3, P(X=2) = 0.5. What is the expected value of X?
1.2
1.5
0.5
What is the probability of getting tails when you flip a fair coin?
0.25