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
1/52
1/7
1/365
Which of the following is NOT a property of a Cumulative Distribution Function (CDF)?
It ranges between 0 and 1.
It is only defined for discrete random variables.
It is always non-decreasing.
It represents the area under the PDF curve.
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)?
0.75
0.25
1.00
0.50
If a random variable X follows a standard normal distribution, what is P(X = 0)?
1
Cannot be determined.
0.5
0
A basketball player makes 80% of her free throws. What is the probability that she makes her first free throw on her third attempt?
0.032
0.008
0.16
0.8
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
1/16
1/2
1/8
What does the complement rule in probability state?
The probability of an event not happening is 1 minus the probability of it happening.
The probability of an event happening is equal to the probability of it not happening.
The probability of two events happening is the sum of their individual probabilities.
The probability of an event is always 1.
A random variable X follows a uniform distribution between 0 and 10. What is the probability that X is greater than 7?
0.7
0.1
0.3
0.2
For a standard normal distribution (mean 0, standard deviation 1), what does the CDF tell you at the value 0?
The probability of observing a value of exactly 0.
The most frequent value in the dataset.
The probability of observing a value less than or equal to 0.
The probability density at the exact center of the distribution.
Which field heavily utilizes probability to analyze and make predictions from data?
Data Science
Literature
History
Philosophy