A website experiences an average of 5 user registrations per hour. What is the probability that there will be exactly 3 registrations in the next hour?
This scenario does not fit the distributions described.
This can be approximated by a uniform distribution.
This can be approximated by a geometric distribution.
This can be approximated by a binomial distribution.
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
1.00
0.50
0.25
What is the variance of a standard normal distribution (mean = 0, standard deviation = 1)?
0.5
2
1
0
A fair six-sided die is rolled. What is the expected value of the roll?
3.5
2.5
3
4
How many different ways can you arrange the letters in the word "DATA"?
16
12
24
A fair coin is flipped 5 times. What is the probability of getting exactly 3 heads?
3/16
1/2
5/16
1/8
A random variable representing the number of website visitors in an hour is an example of what type of variable?
Qualitative
Continuous
Discrete
Ordinal
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?
1.5
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 exponentially distributed.
It's a Poisson distribution.
It's uniformly distributed.
It's normally distributed.
What does the expected value (mean) of a random variable represent?
The average of all possible values, weighted by their probabilities.
The spread or dispersion of the variable's values.
The most frequent value the variable takes on.
The probability of the variable taking on a specific value.