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Salsk061 [2.6K]
3 years ago
15

N a​ region, there is a 0.70.7 probability chance that a randomly selected person of the population has brown eyes. assume 1414

people are randomly selected. complete parts​ (a) through​ (d) below.
Mathematics
1 answer:
taurus [48]3 years ago
8 0
'll use the binomial approach. We need to calculate the probabilities that 9, 10 or 11 
<span>people have brown eyes. The probability that any one person has brown eyes is 0.8, </span>
<span>so the probability that they don't is 1 - 0.8 = 0.2. So the appropriate binomial terms are </span>

<span>(11 C 9)(0.8)^9*(0.2)^2 + (11 C 10)(0.8)^10*(0.2)^1 + (11 C 11)(0.8)^11*(0.2)^0 = </span>

<span>0.2953 + 0.2362 + 0.0859 = 0.6174, or about 61.7 %. Since this is over 50%, it </span>

<span>is more likely than not that 9 of 11 randomly chosen people have brown eyes, at </span>
<span>least in this region. </span>

<span>Note that (n C r) = n!/((n-r)!*r!). So (11 C 9) = 55, (11 C 10) = 11 and (11 C 0) = 1.</span>
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