You roll a fair six-sided die. What is the probability of rolling a number greater than 4?
2/3
1/6
1/3
1/2
If the PDF of a continuous variable is a flat line over a range, what does this imply about the distribution?
It's a Poisson distribution.
It's normally distributed.
It's exponentially distributed.
It's uniformly distributed.
What does the Probability Density Function (PDF) represent for a continuous random variable?
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.
The cumulative probability of the variable up to a given value.
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?
1/365
1/12
1/52
1/7
A random variable representing the number of website visitors in an hour is an example of what type of variable?
Continuous
Ordinal
Qualitative
Discrete
A basketball player makes 80% of her free throws. What is the probability that she makes her first free throw on her third attempt?
0.16
0.008
0.032
0.8
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?
1.2
1.5
1
0.5
A random variable X follows a uniform distribution between 0 and 10. What is the probability that X is less than 3?
0.7
0.2
0.1
0.3
A basketball player makes 80% of his free throws. What is the probability that he makes his next two free throws?
0.64
0.96
0.80
0.40
If two events are mutually exclusive, what is the probability that both events occur?
Cannot be determined
0