A bag contains 5 red balls and 3 blue balls. What is the probability of drawing a red ball, then another red ball without replacement?
9/64
5/14
5/8
25/64
Which of the following is NOT a property of a Cumulative Distribution Function (CDF)?
It is only defined for discrete random variables.
It ranges between 0 and 1.
It is always non-decreasing.
It represents the area under the PDF curve.
A random variable X follows a uniform distribution between 0 and 10. What is the probability that X is greater than 7?
0.3
0.1
0.2
0.7
What does the expected value (mean) of a random variable represent?
The spread or dispersion of the variable's values.
The most frequent value the variable takes on.
The probability of the variable taking on a specific value.
The average of all possible values, weighted by their probabilities.
You are playing a game where you roll a die until you get a 6. What is the probability that you will roll the die exactly 4 times before winning?
(1/6)^3 * (5/6)
(5/6)^3 * (1/6)
(5/6)^4 * (1/6)
(1/6)^4
A random variable X follows a uniform distribution between 0 and 10. What is the probability that X is less than 3?
A random variable X has a probability distribution as follows: P(X=0) = 0.2, P(X=1) = 0.3, P(X=2) = 0.5. What is the expected value of X?
1
1.2
1.5
0.5
How is a random variable different from a regular variable in programming?
There's no difference, both terms are interchangeable.
Random variables have an associated probability distribution.
Regular variables cannot be used in statistical analysis.
Random variables can only store numeric data.
If the variance of a random variable X is 9, what is the standard deviation of X?
81
6
3
9
A fair six-sided die is rolled. What is the expected value of the roll?
4
3.5
2.5