The probability that the three people have chronic insomnia is the likelihood of people having chronic insomnia
The probability that the three people have chronic insomnia is 0.027
The proportion of people with chronic insomnia is given as:
p = 30%
Given that three people are selected, the probability that the three people have chronic insomnia is calculated as:
[tex]P(3) = p^3[/tex]
So, we have:
[tex]P(3) = (30\%)^3[/tex]
Evaluate the exponent
[tex]P(3) = 0.027[/tex]
Hence, the probability that the three people have chronic insomnia is 0.027
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