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?
1/4
1/2
1/8
1/16
A random variable X follows a uniform distribution between 0 and 10. What is the probability that X is greater than 7?
0.1
0.2
0.3
0.7
How many different ways can you arrange the letters in the word "DATA"?
4
12
24
16
If you roll a fair six-sided die, what is the probability of rolling a 3 OR an even number?
2/3
1/3
1/6
A fair six-sided die is rolled. What is the probability of rolling an even number?
A website experiences an average of 5 user registrations per hour. What distribution best models the number of registrations in a given hour?
Binomial Distribution
Poisson Distribution
Geometric Distribution
Uniform Distribution
In a standard deck of 52 cards, you draw one card. What is the probability of drawing a heart or a spade?
1/52
1/13
A random variable Y has an expected value of 5 and a variance of 4. What is the expected value of Y - 2?
3
1
9
7
If two events are mutually exclusive, what is the probability that both events occur?
0
Cannot be determined
0.5
A company produces light bulbs, and 2% are defective. What is the probability that in a sample of 10 bulbs, exactly one is defective?
0.167
0.833
0.984
0.016