In a survey of 100 people, 60 like coffee and 40 like tea. What is the empirical probability that a randomly selected person likes coffee?
0.4
0.6
Cannot be determined
1
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)^4 * (1/6)
(1/6)^4
(5/6)^3 * (1/6)
If a constant value 'c' is added to every observation of a data set, what happens to the variance?
Decreases by 'c'
Increases by 'c²'
Increases by 'c'
Remains unchanged
What is the variance of a standard normal distribution (mean = 0, standard deviation = 1)?
2
0.5
0
Which field heavily utilizes probability to analyze and make predictions from data?
History
Philosophy
Literature
Data Science
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
0.25
0.50
0.75
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
A fair six-sided die is rolled. What is the probability of rolling an even number?
2/3
1/2
1/6
1/3
A fair coin is flipped 5 times. What is the probability of getting exactly 3 heads?
1/8
5/16
3/16
How is a random variable different from a regular variable in programming?
Random variables can only store numeric data.
Regular variables cannot be used in statistical analysis.
There's no difference, both terms are interchangeable.
Random variables have an associated probability distribution.