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Last winter in a certain area 2/5 of the population caught the flu. Four people from...
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High School Teacher
You can use Binomial Distribution to solve this problem.
Binomial Distribution is given by:
`nC_x * p^x * q^(n-x)`
where n is the total number of samples
x is 0,1,2 and so on
p is the success rate (in this case, it is the percentage of population getting flu)
q is 1-p or the failure rate (in this case, it is the percentage of population not getting flu)
So before using the formula, identify first the given.
n = 4
p = 2/5
q = 1-2/5 = 3/5
(i) For the probability if all 4 get flu.
`(i) P(x=4) = 4C_4 * (2/5)^4 * (3/5)^0`
`(i)P(x=4) = 16/625 = 0.0256`
(ii) For the probability if all 4 survuived the flu.
`(ii) P(x=0) = 4C_0 * (2/5)^0 * (3/5)^4`
`(ii) P(x=0) = 0.1296`
Posted by mariloucortez on April 16, 2013 at 5:50 AM (Answer #1)
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