If you draw three cards without replacement from a standard 52-card deck, what is the probability that they are in ascending order?

A product is launched for 1,000 people. Each day only 10 people can see it. What’s the average number of waiting days for a person to see the new product?

Suppose you randomly select one of two coins: a fair coin or a biased coin (which has tails on both sides). If you flip the coin five times and get tails every time, what is the probability that the coin is biased?

Can you explain the Central Limit Theorem and its importance in statistics?

How does the Central Limit Theorem (CLT) help you run a Z-test?

What’s the difference between covariance and correlation?

What is the chance that a review is actually fake when an algorithm detects it as fake? 98% of reviews are legitimate and 2% are fake. If a review is fake, there is a 95% chance that a fake-review detection model flags it. For legitimate reviews, the algorithm correctly classifies it 90% of the time as legitimate.

How do you estimate the beta coefficients in a multiple linear regression model?

Given that X is uniformly distributed over the interval [0, 1] and Y is also uniformly distributed over the interval [0, 1], with both X and Y being independent, what is the expected value of the minimum of X and Y?

What is AUC? How is it helpful when labels are imbalanced?

After flipping a coin 10 times, you observe only one heads. What is the null hypothesis and p-value for testing the fairness of the coin?

How do you handle imbalanced labels in classification models?