In a standard deck of 52 cards, you draw one card. What is the probability of drawing a heart or a spade?
1/2
1/13
1/52
1/4
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
0.016
0.167
0.984
What does the Probability Density Function (PDF) represent for a continuous random variable?
The cumulative probability of the variable up to a given value.
The relative likelihood of the variable falling within a particular range.
The probability of the variable taking on a specific value.
A measure of the spread or variability of the variable.
Which of the following is NOT a property of a Cumulative Distribution Function (CDF)?
It is always non-decreasing.
It represents the area under the PDF curve.
It ranges between 0 and 1.
It is only defined for discrete random variables.
If the variance of a random variable X is 9, what is the standard deviation of X?
9
6
81
3
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)?
0.50
1.00
0.75
0.25
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 an event is always 1.
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.
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
1.5
1.2
0.5
A random variable X follows a uniform distribution between 0 and 10. What is the probability that X is greater than 7?
0.2
0.7
0.3
0.1
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