If the PDF of a continuous variable is a flat line over a range, what does this imply about the distribution?
It's exponentially distributed.
It's a Poisson distribution.
It's normally distributed.
It's uniformly distributed.
A website experiences an average of 5 user registrations per hour. What distribution best models the number of registrations in a given hour?
Uniform Distribution
Poisson Distribution
Geometric Distribution
Binomial Distribution
You are playing a game where you roll a die until you get a 6. What is the probability that it takes you exactly 4 rolls?
(1/6)^4
(5/6)^3 * (1/6)
(5/6)^4
(1/6)^3 * (5/6)
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?
0.6
Cannot be determined
0.4
1
A random variable X follows a uniform distribution between 0 and 10. What is the probability that X is greater than 7?
0.7
0.1
0.3
0.2
A committee of 3 people is to be formed from a group of 5. How many different committees are possible?
20
15
60
10
A basketball player makes 80% of her free throws. What is the probability that she makes her first free throw on her third attempt?
0.008
0.8
0.032
0.16
A random variable representing the number of website visitors in an hour is an example of what type of variable?
Qualitative
Discrete
Continuous
Ordinal
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.
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?
0.5
1.2
1.5