Ace your next data science interview
Get better at data science interviews by solving a few questions per week. Join thousands of other data scientists and analysts practicing for interviews!
How it works?
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Get data science interview questions frequently asked at top companies.
You solve them
Solve the problem before receiving the solution the next morning.
The Schedule
We send data science interview questions 3x per week
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Sample Questions
Question
Suppose there are 15 different color crayons in a box. Each time one obtains a crayon, it is equally likely to be any of the 15 types. Compute the expected # of different colors that are obtained in a set of 5 crayons. (Hint: use indicator variables and linearity of expectation)
Solution
We enumerate the crayons from 1 to 15. Let Xi indicate when the ith crayon
is among the 5 crayons selected.
So,
E(Xi) = Pr {Probability that at least one type i crayon is in set of 5}
E(Xi) = 1 – Pr {no type i crayons in set of 5}
E(Xi) = 1 – (145 /15)
Therefore, the expected # of crayons is:
= ∑15 E(Xi)
= 15[1-(145/15))]
= 4.38
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