A random variable Y has an expected value of 5 and a variance of 4. What is the expected value of Y - 2?
7
3
9
1
Suppose you are playing a game where you flip a coin until you get heads. What is the probability that it takes exactly 4 flips to get the first heads?
1/16
1/4
1/2
1/8
Which of the following is an example of a discrete random variable?
The number of heads when a coin is flipped four times.
The temperature of a room.
The weight of an apple.
The height of a student.
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
0.16
0.032
0.8
If a random variable X represents the number of tails in two coin flips, what is P(X = 1) using its Probability Mass Function (PMF)?
1.00
0.75
0.50
0.25
A company produces light bulbs, and 2% are defective. What is the probability that in a sample of 10 bulbs, exactly one is defective?
0.016
0.984
0.833
0.167
What is the value of 5! (5 factorial)?
20
120
15
25
If you roll a fair six-sided die, what is the probability of rolling a 3 OR an even number?
1/6
1/3
2/3
Which of the following is NOT a property of a Cumulative Distribution Function (CDF)?
It is only defined for discrete random variables.
It represents the area under the PDF curve.
It ranges between 0 and 1.
It is always non-decreasing.
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 not happening is 1 minus the probability of it happening.
The probability of an event happening is equal to the probability of it not happening.
The probability of an event is always 1.