What is the value of 5! (5 factorial)?
20
15
25
120
A random variable Y has an expected value of 5 and a variance of 4. What is the expected value of Y - 2?
9
1
7
3
If a random variable X is multiplied by a constant 'c', how does it affect its expected value?
E(cX) = c * E(X)
E(cX) = E(X) / c
E(cX) = E(X) + c
E(cX) = E(X)
Which of the following is NOT a valid probability value?
0.75
1.25
0
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 less than or equal to 0.
The most frequent value in the dataset.
The probability density at the exact center of the distribution.
The probability of observing a value of exactly 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?
0.8
0.16
0.008
0.032
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)?
0.25
1.00
0.50
A basketball player makes 80% of his free throws. What is the probability that he makes his next two free throws?
0.96
0.40
0.80
0.64
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
1/2
1/8
1/16
What is the variance of a standard normal distribution (mean = 0, standard deviation = 1)?
0.5
2