Ascending Order Card Probability If you draw three cards without replacement from a standard 52-card deck, what is the probability that they are in ascending order? | | Easy | Statistics | Data Scientist | Entry |

Average Waiting Days A product is launched for 1,000 people. Each day only 10 people can see it. Whatâ€™s the average number of waiting days for a person to see the new product? | | Easy | Statistics | Data Scientist | Entry |

Bias Coin Probability 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? | | Medium | Statistics | Data Scientist | Entry |

The Central Limit Theorem Can you explain the Central Limit Theorem and its importance in statistics? | | Easy | Statistics | Data Scientist | Entry |

CLT and Z-Test How does the Central Limit Theorem (CLT) help you run a Z-test? | | Medium | Statistics | Data Scientist | Entry |

Covariance vs. Correlation Whatâ€™s the difference between covariance and correlation? | | Easy | Statistics | Data Scientist | Entry |

Detecting Fake Review Probability 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. | | Easy | Statistics | Data Scientist | Entry |

Estimating Betas in Regression How do you estimate the beta coefficients in a multiple linear regression model? | | Medium | Statistics | Data Scientist | Entry |

Expected Minimum Value 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? | | Hard | Statistics | Data Scientist | Senior |

Explain AUC What is AUC? How is it helpful when labels are imbalanced? | | Easy | Machine Learning | Data Scientist | Entry |

Fair Coin 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? | | Medium | Statistics | Data Scientist | Entry |

Imbalanced Labels How do you handle imbalanced labels in classification models? | | Easy | Machine Learning | ML Engineer | Entry |