A random variable Y has an expected value of 5 and a variance of 4. What is the expected value of Y - 2?
1
9
3
7
A fair coin is flipped 5 times. What is the probability of getting exactly 3 heads?
5/16
1/8
1/2
3/16
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
0.50
0.25
1.00
What is the value of 5! (5 factorial)?
25
20
120
15
A basketball player makes 80% of her free throws. What is the probability that she makes her first free throw on her third attempt?
0.008
0.16
0.8
0.032
What does the complement rule in probability state?
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 not happening is 1 minus the probability of it happening.
The probability of an event is always 1.
Which field heavily utilizes probability to analyze and make predictions from data?
Literature
Philosophy
Data Science
History
Which of the following measures the spread or dispersion of a random variable's values around its expected value?
Cumulative Distribution Function
Expected Value
Probability Mass Function
Variance
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.
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
0.167
0.984
0.016