Statistics

You are given 200 numbers and asked to pick 12 numbers randomly. What is the probability of picking consecutive numbers if the sample is arranged in descending order.

What is the expected value of a binomial random variable in a binomial distribution? Given number of repeated trials is n and the probability of success is P.

If the data fails to reject the NULL hypothesis, what does it symbolises?

Which type of error related to Hypothesis testing could prove to be fatal or catastrophic? Give reasons for your choice.

Explain what resampling methods are and why they are useful. Also explain their limitations.

How do you assess the statistical significance of an insight? How much is considered to be a safe value?

Playing in a casino, you will get $X for every X on the dice. What is the probability that you roll at most a single six to win a total amount of $6X?

What is the role of trial and error in data analysis? How will you define the importance of the hypothesis before starting?

Let's say that your company is running a standard control and variant AB test on a feature to increase conversion rates on the landing page. The PM checks the results and finds a .07 p-value. How would you assess the validity ...

What are some of the ways that you will follow to retrieve an important part of data collection?