A website experiences an average of 5 user registrations per hour. What distribution best models the number of registrations in a given hour?
Geometric Distribution
Uniform Distribution
Poisson Distribution
Binomial Distribution
How many different ways can you arrange the letters in the word "DATA"?
4
24
12
16
If the variance of a random variable X is 9, what is the standard deviation of X?
6
81
3
9
A fair six-sided die is rolled. What is the probability of rolling an even number?
1/3
2/3
1/2
1/6
A fair six-sided die is rolled. What is the expected value of the roll?
3.5
2.5
Which of the following measures the spread or dispersion of a random variable's values around its expected value?
Expected Value
Variance
Probability Mass Function
Cumulative Distribution Function
In a survey of 100 people, 60 like coffee and 40 like tea. What is the empirical probability that a randomly selected person likes coffee?
0.4
Cannot be determined
1
0.6
What does the Probability Density Function (PDF) represent for a continuous random variable?
The cumulative probability of the variable up to a given value.
The relative likelihood of the variable falling within a particular range.
A measure of the spread or variability of the variable.
The probability of the variable taking on a specific value.
A fair coin is flipped 5 times. What is the probability of getting exactly 3 heads?
1/8
5/16
3/16
What is the variance of a standard normal distribution (mean = 0, standard deviation = 1)?
0.5
0
2