3. Statistical Methods
Probability Basics — Quiz
Test your understanding of probability basics with 5 practice questions.
Practice Questions
Question 1
A company is analyzing the risk of two independent projects. Project A has a probability of success of $P(A) = 0.8$, and Project B has a probability of success of $P(B) = 0.7$. What is the probability that exactly one of the two projects succeeds?
Question 2
A continuous random variable $X$ has a cumulative distribution function (CDF) given by $F(x) = 1 - e^{-0.5x}$ for $x \ge 0$. What is the probability that $X$ is between 2 and 4 (i.e., $P(2 \le X \le 4)$)?
Question 3
A company's call center receives an average of 5 calls per hour. Assuming a Poisson distribution, what is the probability that the call center receives exactly 3 calls in a given hour?
Question 4
A manufacturing process has a 10% defect rate. If a quality control inspector randomly selects 4 items, what is the probability that at most 1 of them is defective?
Question 5
In a market research study, 40% of consumers prefer product A, and 30% prefer product B. If 15% prefer both, what is the probability that a randomly selected consumer prefers neither product A nor product B?