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From past experience, it is known 90% of one-year-old children can distinguish their mother's voice from the voice of a similar sounding female. A random sample of 20 one-year-olds is given this voice recognition test. Find the probability at least 3 children do not recognize their mother's voice.

 Feb 26, 2020
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subtract the probability that 0, 1, or 2 children don't recognize their mother's voice from 1

 

\(1 - (0.9)^{20} - (0.1)^1(0.9)^{19} - (0.1)^2(0.9)^{18} \approx \boxed{0.8634}\)

 Jan 30, 2022

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