What is the probability that a randomly selected person was born on a Tuesday, assuming births are equally likely on any day of the week?
1/12
1/7
1/52
1/365
What does the addition rule of probability calculate?
Probability of one event AND another event occurring
Probability of one event OR another event occurring
Probability of two events occurring given that one has already happened
Probability of an event NOT occurring
If a constant value 'c' is added to every observation of a data set, what happens to the variance?
Increases by 'c²'
Increases by 'c'
Remains unchanged
Decreases by 'c'
A bag contains 4 red balls and 6 blue balls. You draw two balls out of the bag without replacement. What is the probability that both balls are red?
4/25
1/3
8/15
2/15
A random number generator produces a uniform distribution between 0 and 1. What is the probability that the generated number is greater than 0.7?
0.3
0.7
0.5
1
A company produces light bulbs, and 2% are defective. What is the probability that in a sample of 10 bulbs, exactly one is defective?
0.833
0.016
0.167
0.984
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
A fair coin is flipped twice. What is the expected value of the number of heads?
0
2
1.5
A random variable Y has an expected value of 5 and a variance of 4. What is the expected value of Y - 2?
3
7
9
Which of the following is an example of a discrete random variable?
The weight of an apple.
The height of a student.
The number of heads when a coin is flipped four times.
The temperature of a room.