Assess Probability of Heads in Coin Tosses
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Assess Probability of Heads in Coin Tosses evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.
Scenario
HR screening for data-science role; assessing basic probability knowledge
Question
A coin is tossed N times into a cup. Assuming each toss is independent and fair, what is the probability of observing exactly k heads? How would your answer change if the coin is biased with probability p of heads? For a variable X~N(μ,σ²), derive P(a<X<b) and explain how to standardise a normal variable.
Hints
Use binomial pmf and standard normal Z-score transformation.
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