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?
1
0.5
0.7
0.3
What does the expected value (mean) of a random variable represent?
The spread or dispersion of the variable's values.
The probability of the variable taking on a specific value.
The average of all possible values, weighted by their probabilities.
The most frequent value the variable takes on.
Which of the following is an example of a discrete random variable?
The number of heads when a coin is flipped four times.
The height of a student.
The weight of an apple.
The temperature of a room.
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?
1/365
1/12
1/7
1/52
A website experiences an average of 5 user registrations per hour. What is the probability that there will be exactly 3 registrations in the next hour?
This can be approximated by a uniform distribution.
This can be approximated by a binomial distribution.
This scenario does not fit the distributions described.
This can be approximated by a geometric distribution.
A random variable representing the number of website visitors in an hour is an example of what type of variable?
Ordinal
Qualitative
Continuous
Discrete
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?
1/3
2/15
4/25
8/15
In a lottery, 1000 tickets are sold and there is one winning ticket. If you buy one ticket, what is the probability of winning?
0.001
0.1
0.01
If a constant value 'c' is added to every observation of a data set, what happens to the variance?
Remains unchanged
Increases by 'c'
Decreases by 'c'
Increases by 'c²'
What does the Probability Density Function (PDF) represent for a continuous random variable?
The relative likelihood of the variable falling within a particular range.
A measure of the spread or variability of the variable.
The cumulative probability of the variable up to a given value.