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
0.2
0.3
A basketball player makes 80% of her free throws. What is the probability that she makes her first free throw on her third attempt?
0.16
0.008
0.8
0.032
If the variance of a random variable X is 9, what is the standard deviation of X?
81
9
3
6
What is the variance of a standard normal distribution (mean = 0, standard deviation = 1)?
2
0
0.5
1
A fair coin is tossed three times. What is the probability of getting exactly two heads?
1/8
1/2
3/8
2/3
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)^3 * (5/6)
(1/6)^4
(5/6)^3 * (1/6)
(5/6)^4
If a constant value 'c' is added to every observation of a data set, what happens to the variance?
Increases by 'c²'
Remains unchanged
Decreases by 'c'
Increases by 'c'
Which of the following is NOT a property of a Cumulative Distribution Function (CDF)?
It is always non-decreasing.
It ranges between 0 and 1.
It represents the area under the PDF curve.
It is only defined for discrete random variables.
If two events are mutually exclusive, what is the probability that both events occur?
Cannot be determined
Which of the following is an example of a discrete random variable?
The height of a student.
The temperature of a room.
The weight of an apple.
The number of heads when a coin is flipped four times.