18 Questions
What is the probability that X is equal to 2 in the example provided?
3/8
If P(X) must be between 0 and 1, which of the following ranges is invalid?
(0, 0.5)
In a probability histogram, what does the vertical axis represent?
Probability of an event
If the sum of all possible probabilities is 1, what does this imply?
At least one event is certain to happen
Given a random variable X that represents the number of heads in three coin tosses, what is P(X=1)?
1/4
What happens if the probability of an event is zero according to the text?
The event is impossible to occur
What does the mean represent in the context of a discrete random variable?
The expected value, obtained by the weighted average of all possible values
What does the variance of a discrete random variable measure?
The spread or dispersion of the random variable's values
Which formula is used to calculate the variance of a discrete random variable?
$σ^2 = ∑ (x - μ)^2 P(x)$
What does the standard deviation of a discrete random variable measure?
The spread or dispersion relative to the mean
In a probability distribution, if P(x) = 4/25, what does this value represent?
Probability of the random variable x occurring
What is the purpose of calculating the mean in probability distributions?
To find the expected value of the random variable
What is the probability of rolling a number less than 5 on a six-sided die?
2/3
If you randomly select a letter from the word 'PROBABILITY', what is the probability of selecting a vowel?
1/2
When a fair six-sided die is rolled, what is the probability of rolling a prime number?
1/3
If you spin a spinner with 8 equal sections numbered 1 through 8, what is the probability of landing on a multiple of 4?
1/8
When drawing a card from a standard deck, what is the probability of drawing a black card?
26/52
A jar contains 8 red marbles and 5 blue marbles. What is the probability of randomly selecting a red marble?
$5/8$
Test your knowledge of probability concepts and formulas in this quiz. Learn about the basics of probability, including the range of probabilities, the sum rule, and how to calculate the probability of an event using a formula.
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