{"blocks": [{"key": "3909eee1", "text": "Scenario", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "f304b446", "text": "HR screening for data-science role; assessing basic probability knowledge", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "bc59391f", "text": "Question", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "4166dc42", "text": "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.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "db24a625", "text": "Hints", "type": "header-two", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}, {"key": "5cbb62e4", "text": "Use binomial pmf and standard normal Z-score transformation.", "type": "unstyled", "depth": 0, "inlineStyleRanges": [], "entityRanges": [], "data": {}}], "entityMap": {}}