Variance of a union indicator
Three independent events each occur with probability . Let be the indicator that at least one of the three occurs. What is ? (to 3 decimals)
Show hints (2)+
- First get q = P(at least one) via the complement 1 - P(none) = 1 - 0.5^3.
- An indicator's variance is q(1-q).
Answer
Reveal answer →Final answer
0.109 (± 0.001)
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Asked at: Timed Mental-Math & Sequences, Game-Based Aptitude